Ap physics 1 mcq questions

A ball which is dropped from the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximately: 45 m. If a ball is thrown directly upwards with twice the initial speed of another, how much higher will it be at its apex? 4 times.

Good morning, Quartz readers! Good morning, Quartz readers! A$AP Rocky awaits his verdict. The American rapper, whose real name is Rakim Meyers, was detained and charged with assau...Apr 11, 2023 ... Here is my AP Physics 1 Practice Exam! https://www.ultimatereviewpacket.com/courses/ap-physics-1.AP ® PHYSICS 2018 SCORING GUIDELINES . General Notes About 2018 AP Physics Scoring Guidelines . 1. The solutions contain the most common method of solving the free-response questions and the allocation of points for this solution. Some also contain a common alternate solution. Other methods of solution also receive appropriate credit for ...Everything you need to learn and practice AP® Physics 1. Exclusive review videos with tips, strategies, and content. Study guides and practice sheets with answer keys for each unit. Practice multiple choice questions and AP-style practice exam. Prepare for the AP Physics 1 exam using a practice test created by Mr. P from Flipping Physics!Solution: The external forces acting on the system of masses are the weights of block 1 (pulling the system to the left), the weight of block 3 (pulling the system to the right) and the force of friction on block 2 (pulling the system to the left with a magnitude μF N = μm 2 g) \(\sum \) F external = m total a gives (m 1 g – μm 2 g – m 3 ...AP Physics 1 Review MCQ. Balls 1 and 2 are each thrown horizontally from the same height above level ground, but ball 2 has a greater initial velocity after leaving the thrower's hand. If air resistance is negligible, how do the accelerations of the balls and the times it takes them to hit the ground compare? A: Acceleration a: Greater for ball 2.After you finish, you can see how you did with Unit 3 FRQ ( Circular Motion & Gravitation) Answers. ⏱ The AP Physics 1 exam has 5 free-response questions, and you will be given 90 minutes to complete the FRQ section. (This means you should give yourself ~18 minutes to go through each practice FRQ.) 🤔 Need a quick refresher of the unit as a ...

AP Physics 1: Impulse/Momentum quiz for 11th grade students. Find other quizzes for Physics and more on Quizizz for free! ... 15 questions. Copy & Edit. Save ... 15 questions. Show answers Preview. Show Answers. See Preview. 1. Multiple Choice. Edit. 1 minute. 1 pt. The units for momentum are. kg. m/s. kg-m/s. kg/m/s. 2. Multiple Choice. Edit ...Work (physics) - MCQ Set 1 (with answer) For work to be done on an object, force must be applied. a. in an upward direction. b. against the force of gravity. c. in the same direction as gravity. d. in the same direction that the object moves. Work is directly related to the force applied to an object and to the.Determine the slope of the best-fit curve from 1.75s and 2.25s. Multiply the result by the rotational inertia of disk Y. Multiply the result by 0.5 s. Study with Quizlet and memorize flashcards containing terms like A rod is at rest on a horizontal surface. One end of the rod is connected to a pivot that allows the rod to rotate around the ...AP Menu Toggle. AP Physics 1; AP Physics 2; AP Physics C EM; AP Physics C Mechanics; AP Biology; AP Chemistry; AP Calculus AB; AP Calculus BC; A Level Menu Toggle. A Level Math (9709) A level Bio (9700) iGCSE Menu Toggle. iGCSE Physics (0625) iGCSE Biology (0610) SAT Menu Toggle. SAT New Math; SAT English; KS 1-4 Menu Toggle. Year 2; Year 3 ...MIT - Massachusetts Institute of TechnologyUnit 3: Circular motion and gravitation. 0/700 Mastery points. Vector fields Fundamental forces Gravitational forces. Gravitational fields and acceleration due to gravity on different planets Centripetal acceleration and centripetal force Free-body diagrams for objects in uniform circular motion Applications of circular motion and gravitation.A total of 184 AP Physics C multiple choice problems from Varsity Tutors. Focus on one topic or work through the whole set randomly. ... Here's a 57 question AP Physics C multiple choice test with answers from Planet Holloway. Mechanics Chapter Tests. More PDF practice sets. A total of 16 chapter tests with answers.

This is a PDF package of the official AP Physics 1: Algebra-Based 2017 Full Exam, complete with all sections including: 1. SECTION I: Multiple Choice (Part A & B) 2. SECTION II: Free Response 3. Answer Key You can obtain full PDF package of the official AP Physics 1: Algebra-Based 2017 full exam here. Below is a preview of each sections …That IS what you were supposed to do actually. You weren't supposed to mention rotational kinetic energy for the design because it specifically says to analyze the translational kinetic energy of the block. It would probably be considered extraneous if you did mention rotational kinetic energy in the design. 4. AP® Physics 1. Looking for an AP® Physics 1 score calculator? Click here for this and more tips for your test! Practice questions in the fundamentals of physics while you review topics from classical dynamics to modern quantum mechanics with Albert's AP® Physics 1 exam prep. Physics 1 Practice Exam and Notes Effective Fall 2014 2 About the College Board The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Founded in 1900, the College Board was created to expand access to higher education. Today, the membership association is made up of over 6,000 of the worlds leading educational institutions ...

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Total Playlist Time: 139 minutes. Electricity is no longer a part of the AP Physics 1 curriculum. Electricity: All Lecture Notes. [2] (10:13) Introduction to Conventional Current and Direct Current with an Example Problem - edpuzzle. [2] (13:37) Defining Resistance, Ohmic vs. Non-Ohmic and Electric Power - edpuzzle.AP Physics 1 - Unit 3: Circular Motion. 35 terms. Kweibhms. Preview. AP Physics Unit 3 test. 24 terms. Elizabeth_Lewis38. Preview. RA #15 Notes. 5 terms. Jessica-Lynn864. Preview. Physics Final Exam Study. 114 terms. carolineghicks03. Preview. AP Physics 1 - Unit 1 Progress Check. 16 terms. niccidame. Preview. AP Physics 1 Unit 4 Progress Check B.People with depression often have worse physical health, as well as worse self-perceived health, than those wi People with depression often have worse physical health, as well as w...PSI AP Physics I Dynamics Multiple-Choice questions 1. After firing a cannon ball, the cannon moves in the opposite direction from the ball. This an example of: A. Newton's First Law B. Newton's Second Law C. Newton's Third Law D. Newton's Law of Gravitation E. None of the above 2.Questions & Worked Solutions For AP Physics 1 2019. AP Physics 1 2019 Exam Questions (pdf) Corrections for Question 2: It should be T 2 is greater than T 1. Corrections for Question 5: The graph should have a cusp at L/2 instead of it looking like a smooth transition. AP Physics 1 2019 Exam Question 1. Identical blocks 1 and 2 are placed on a ...

When it comes to diagnosing Alzheimer’s disease, healthcare professionals often rely on a combination of medical history, physical examinations, and cognitive assessments. One comm...You'll find just about every answer on the internet, whether right or wrong. Sometimes bad information won't hurt you much, but when it comes to your physical health you don't wan... Unit 3: Circular motion and gravitation. 0/700 Mastery points. Vector fields Fundamental forces Gravitational forces. Gravitational fields and acceleration due to gravity on different planets Centripetal acceleration and centripetal force Free-body diagrams for objects in uniform circular motion Applications of circular motion and gravitation. Directions: Solve each of the following problems, using the available space for scratch work. After examining the choices, decide which is the best of the choices given and fill in the corresponding circle on the answer sheet. No credit will be given for anything written in this exam booklet.Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part. (7 points, suggested time 13 minutes) Identical blocks 1 and 2 are placed on a horizontal surface at points A and E, respectively, as shown.This video is a review of Free-Response Questions for AP Physics I, Unit 2: Dynamics. If you enjoyed this video, please like and subscribe! This video was by... AP Physics 1: Algebra-Based.Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part.AP Physics 1 -Algebra-Based-Questions - All Topics. Question. Which of the following experiments could be used to determine the inertial mass of a block? ... More AP Physics 1 MCQ Questions.. IBDP Physics SL &HL. Study Guide and Notes; IB Style Question Banks with Solution; IBDP Biology SL &HL.

4.4 (31 reviews) Block X of mass M slides across a horizontal surface where friction is negligible. Block X collides with block Y of mass 2M that is initially at rest, as shown in Figure 1. After the collision, both blocks slide together with a speed vs , as shown in Figure 2. Click the card to flip 👆. 9/2Mv^2. Click the card to flip 👆.

AP Physics 1 Student Workbook—Teacher and Student Editions. This is a free resource that contains a compilation of problems written by master AP Physics teachers and college/university physics faculty to help students master the knowledge and skills in college-level physics coursework. This workbook offers more than 100 scenarios, or ...AP Physics 1: Newton's Laws Practice Questions; AP Physics 1: Work, Energy, and Power Practice Questions; AP Physics 1: Linear Momentum Practice Questions; AP …AP Physics 2 Free-Response Practice Test 1: Electric Fields and Potentials. AP Physics 2 Free-Response Practice Test 2: Steady-State Circuits. AP Physics 2 Free-Response Practice Test 3: Magnetism and Electromagnetism. AP Physics 2 Free-Response Practice Test 4: Physical Optics.AP Physics 2 Practice Exams. AP Physics 2 Practice Exams Free Response Notes Videos Study Guides. Here are all of the best online AP Physics 2 practice exams. Each of these websites features dozens of free multiple choice practice questions. Review your options and get started with your test prep!The AP Physics 1 exam includes two main sections1: Section 1 - Multiple-Choice Questions (MCQs) and Section 2 - Free-Response Questions (FRQs). Each section is worth 50% of the total exam score. The exam lasts for a total of 3 hours, with 90 minutes allotted per section. Section 1 of the exam includes 50 multiple-choice questions.RELEASED EXAMS. 1998 AP Physics B and Physics C. Contains: Multiple-Choice Questions and Answer Key. Free-Response Questions, Scoring Guidelines, and Sample Student Responses and Commentary. Statistical Information About Student Performance on the 1998 Exams. AP PHYSICS. 1997 -98 DEVELOPMENT COMMITTEE. William Ingham, Chair James Madison ...Forces Practice Problems: AP Physics. All forces questions on the AP Physics 1 exams, cover one of the following subsections: Newton's First law. Problem (1): In the figure below, we first gently pull the thread down and gradually increase this force until one of the threads connected to the hanging block becomes torn.May 4, 2021 ... starts at 3:25 Going through questions from the 2015 AP Physics 1 Practice Test.Diagram answer-choice questions. Questions in sets. Multi-select questions (Two answer choices are correct) Each question type is defined below, with tips to help you …Correct answer: Explanation: Intensity is related to radius by the inverse square law: This equation is derived from the concept that the energy from the sound waves is conserved and spread out over an area, producing the term. Applying this concept, when the radius doubles, the intensity decreases by a factor of 4.

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5 Questions. Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part.AP Physics 1 Multiple Choice Questions. 24 terms. Snookums99. Preview. PHYSICS UNIT 2 TEST. Teacher 18 terms. NormanMei. Preview. AP Physics 1 - Unit 2 Progress Check: MCQ Part A ... 42 terms. psmithvladimirov. Preview. Ap Physics 1 Midterm. 30 terms. Hkrys22. Preview. vocabulary unit 3 . 15 terms. Eddiepaul1956. Preview. Chem. Ch. 4 Test. 45 ...As promised in the last post we will now discuss some questions (MCQ) on wave motion. Here are the questions: (1) When a tuning fork of frequency f is excited and held near one end of a straight pipe of length L open at both ends, the air column in the pipe vibrates in its fundamental mode and is in resonance with the tuning fork.1:4. A meteoroid is in a circular orbit 600 km above the surface of a distant planet. The planet has the same mass as Earth but has a radius that is 90% of Earth's (where Earth's radius is approximately 6370 km). The acceleration of the meteoroid due to the gravitational force exerted by the planet is most nearly.Select two answers. The block has its maximum acceleration at all times 0.5n, where n is a zero or a whole number. B. The block has maximum spring potential energy at all times 0.5n, where n is a zero or a whole number. Study with Quizlet and memorize flashcards containing terms like What is the magnitude of the change in potential energy of ...2020 Exam SAMPLE Question 1 (Adapted from: AP ® Physics 1 Course and Exam Description FRQ 1) Allotted time: 25 minutes (+ 5 minutes to submit) A small sphere of mass . M. is suspended by a string of length . L. The sphere is made to move in a horizontal circle of radius . R. at a constant speed, as shown above. The center of the circle is ...Study guides & practice questions for 8 key topics in AP Physics 1 Unit 2 - Dynamics ... Score Higher on AP Physics 1 2024: MCQ Tips from Students. 6 min read. Score Higher on AP Physics 1 2024: Tips for FRQs ... 🌶️ AP Physics 1 Cram Review: Unit 3: Circular Motion and Gravitation.AP Physics 1 -Algebra-Based-Questions - All Topics. Question A cart with a mass of m needs to complete a loop-the-loop of radius r , as shown above. What is the approximate minimum velocity required to achieve this goal? ... More AP Physics 1 MCQ Questions.. IBDP Physics SL &HL. Study Guide and Notes; IB Style Question Banks with Solution; …AP Physics 1 - 2022 Practice Exam 1 MCQ. A blue sphere and a red sphere with the same diameter are released from rest at the top of a ramp. The red sphere takes a longer time to reach the bottom of the ramp. The spheres are then rolled off a horizontal table at the same time with the same speed and fall freely to the floor. ….

Over 20 multiple-choice questions on circular motion and gravitation which appear on the AP Physics 1 exam are provided with detailed explanations. AP Physics: Circular Motion Solved Problems. Problem (1): A motorcycle weighing $200\,{\rm kg}$ turning around an unbanked circular track of radius $12.5\,{\rm m}$ at a constant speed of $56\,{\rm ...The results are listed in the table. Which of the following is true about the density of the object? A It is greater than the density of each of the liquids. B It is the same as the density of distilled water. C It is between the density of distilled water and the density of salt water. D It is less than the density of each of the liquids.Correct answer: Explanation: First, find the total resistance of the circuit. and are in parallel, so we find the equivalent resistance by using the following formula: Next, add the series resistors together. Use Ohm's law to find the current through the system. Since and are in parallel, they will have the same voltage drop accross them.Free Response. Assessments. Overview. Looking for an AP® Physics 1 score calculator? Click here for this and more tips for your test! Practice questions in the fundamentals of physics while you review topics from classical dynamics to modern quantum mechanics with Albert's AP® Physics 1 exam prep.AP Physics 1 is the equivalent of the first semester of an introductory college-level course on algebra-based physics, covering the topics of Newtonian mechanics; work, energy, and power. ... Questions. Time (in minutes) Section 1: Multiple Choice 50. 90 Minutes. Section 2: Free Response 05. 90 Minutes. Play Video. Instructors. Mr. K Thakur.How Is the AP Physics 1 Exam Scored? The AP Physics 1 exam has two main sections. Section I includes multiple-choice questions, while Section II has free-response questions. Each section accounts for 50% of the total points you can score on the exam. Here's a quick look at the exam format and the scoring method.The AP Physics 1 exam is three hours long and consists of two sections: a multiple-choice section and a free-response section. AP Physics 1 Section. Timing. Number of Questions. Multiple Choice. 90 minutes. 45 single-select: discrete questions and questions in sets with one correct answer.This subreddit will cater to anything related to Advanced Placement Physics (B or C) and prerequisite Physics classes. Asking questions, posting problems, discussing theories, and helping each other is encouraged to help everyone succeed in their school.AP Physics 1 Free Response Question Answers for Simple Harmonic Motion. 👋 Welcome to the AP Physics Unit 6 FRQ (Simple Harmonic Motion) Answers. Have your responses handy as you go through the rubrics to see how you did! ⏱ Remember, the AP Physics 1 exam has 5 free-response questions, and you will be given 90 minutes to … Ap physics 1 mcq questions, AP Physics 1 Student Workbook—Teacher and Student Editions. This is a free resource that contains a compilation of problems written by master AP Physics teachers and college/university physics faculty to help students master the knowledge and skills in college-level physics coursework. This workbook offers more than 100 scenarios, or ..., Test Information. 1. An object of mass 2 kg has a linear momentum of magnitude 6 kg · m/s. What is this object's kinetic energy? 2. A ball of mass 0.5 kg, initially at rest, acquires a speed of 4 m/s immediately after being kicked by a force of strength 20 N., Google has removed yet another batch of awful Android apps from the Google Play Store for breaking the company’s terms of service. The roundup includes 101 apps belonging to a sing..., Momentum Multiple Choice practice exam multiple choice. choose the one alternative that best completes the statement or answers the question. figure in figure. ... AP Physics Prep; Chapter 1 Key Concepts-1-1; Preview text. Exam. Name_____ ... This is projoctile motion ap practice questions for the unit projoctil motion; 2023 SUPA WRT 114 ..., Practice Online AP Physics 1: 5.1 Momentum and Impulse - Exam Style questions with Answer- MCQ prepared by AP Physics Teachers, The 2024 AP Physics 1 exam will be split equally between two sections: multiple-choice and free-response questions. Each section is worth 50 percent of the exam score. You will have 1 hour, 30 minutes to answer 50 multiple-choice questions and 1 hour, 30 minutes to answer 5 free-response questions., Every online AP Physics C practice exam is linked below. Includes Mechanics as well as Electricity & Magnetism. Start your test prep with these free practice questions! ... Here’s a 57 question AP Physics C multiple choice test with answers from Planet Holloway. Mechanics Chapter Tests., Free Resources for AP Physics 1 Teachers AP Physics Workbook. A full-length workbook online complete with multiple choice questions, free response questions, and answers. Each workbook chapter is organized by topic according to the AP Physics 1 curriculum. AP Physics 1 & 2 Practice Exams. AP Physics 1 teacher resources for practice questions ..., Practice Online AP Physics 2: 7.1 Systems and Fundamental Forces - Exam Style questions with Answer-MCQ prepared by AP Physics Teachers. Skip to content. IBDP, MYP, AP, iGCSE, A-Level ... More AP Physics 2 MCQ Questions.. IBDP Physics SL &HL. Study Guide and Notes; IB Style Question Banks with Solution; IBDP Biology SL &HL., A) The acceleration of the object is zero. B) The kinetic energy is at a maximum. C) The velocity of the object is zero. D) The potential energy is at a maximum. Free Response Problems. 1. A 0.4 kg object is attached to a horizontal spring undergoes SHM with the total energy of 0.2 J. The potential energy as a function of position presented by ..., After overseeing franchises like 'World of Warcraft' and 'Candy Crush,' Activision COO Daniel Alegre will try to lead Yuga Labs into gaming. Activision Blizzard COO Daniel Alegre i..., Directions: Solve each of the following problems, using the available space for scratch work. After examining the choices, decide which is the best of the choices given and fill in the corresponding circle on the answer sheet. No credit will be given for anything written in this exam booklet., The AP Physics 1 exam is three hours long and consists of two sections: a multiple-choice section and a free-response section. AP Physics 1 Section. Timing. Number of Questions. Multiple Choice. 90 minutes. 45 single-select: discrete questions and questions in sets with one correct answer. , Oct 16, 2018 ... AP Physics 1 Online Review for Unit 1 Test Kinematics (2018). 1K views · 5 years ago ...more. Try YouTube Kids. An app made just for kids. Open ..., AP PHYSICS 1 - MOTION GRAPHS quiz for 10th grade students. Find other quizzes for Physics and more on Quizizz for free! ... 1. Multiple Choice. Edit. 30 seconds. 1 pt. What is object doing at t = 4 s to t = 6 s? At rest. Speeding up. ... Explore all questions with a free account. Continue with Google. Continue with Microsoft. Continue with email., PSI AP Physics I Rotational Motion Multiple-Choice questions 1. Which of the following is the unit for angular displacement? A. meters B. seconds C. radians D. radians per second 2. An object moves from point A to point B along a circular path with a radius R. What is the size of the angle θ? A. 1 rad B. 2 rad C. 3 rad D. 4 rad 3., 1. T 1 . Part (c)(i) earned. T 2 no points because the response does not explain in terms of work or energy why the systems' energies should be the same. The response states that no energy is lost because there is no friction. The response needs to address the fact that no work is done on the system., Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part. (7 points, suggested time 13 minutes) Identical blocks 1 and 2 are placed on a horizontal surface at points A and E, respectively, as shown., 5 Questions. Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part., Our AP Physics 1, Unit 3 test is focused on the concepts of the universal law of gravitation. Further concepts, like acceleration due to gravity, potential energy, motion of satellites, and dynamics of circular motion, are included as a part of the assessment. These topics are an application of Newton's laws of motion and related concepts ..., The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Founded in 1900, the College Board was created to expand access to higher education. Today, the membership association is made up of over 6,000 of the world's leading educational institutions and is dedicated to ..., I'm in AP Physics 1 and we're doing force applications right now. Does anyone know where I can find College Board MCQ questions JUST for this unit? Locked post. New comments cannot be posted. Share Add a Comment. Be the first to comment Nobody's responded to this post yet. Add your thoughts and get the conversation going. ..., Oct 16, 2018 ... AP Physics 1 Online Review for Unit 1 Test Kinematics (2018). 1K views · 5 years ago ...more. Try YouTube Kids. An app made just for kids. Open ..., Diagram answer-choice questions. Questions in sets. Multi-select questions (Two answer choices are correct) Each question type is defined below, with tips to help you …, AP Physics 1 Multiple Choice Questions. 1) A ball rolls off the edge of the table. The horizontal component of the ball's velocity remains constant during its entire trajectory because. A: the ball is not acted upon by a force in the horizontal direction. B: the net force acting on the ball is zero., Multiple-choice questions (MCQ) tests have long been a popular assessment tool in education. With their structured format and ability to measure knowledge and understanding, MCQ te..., Download file or read online AP past exam paper 2015 AP Physics 1 Exam MCQ Multiple Choice Questions with Answers and FRQ Free Response Questions with Scoring Guidelines - Collegeboard Advanced Placement., AP Physics 1: Unit 2: Dynamics-2.2 The Gravitational Field- Exam Style questions with Answer- MCQ. AP Physics AP Calculus AP Chemistry AP Biology. ... More AP Physics 1 MCQ Questions.. IBDP Physics SL &HL. Study Guide and Notes; IB Style Question Banks with Solution; IBDP Biology SL &HL., Study with Quizlet and memorize flashcards containing terms like A truck in a traffic circle travels in a circular path at constant speed v0 while passing through region X of the circle, as shown in Figure 1 above. A diagram representing the forces exerted on the truck in region X is shown in Figure 2. At a later time a car with less mass than the truck passes through region X at the same ..., I'm in AP Physics 1 and we're doing force applications right now. Does anyone know where I can find College Board MCQ questions JUST for this unit? Locked post. New comments cannot be posted. Share Add a Comment. Be the first to comment Nobody's responded to this post yet. Add your thoughts and get the conversation going. ..., If you are a mobile user, click here: Do AP Physics C: Mechanics Practice Questions. AP Physics C: Mechanics Multiple-Choice Practice Tests. AP Physics C: Mechanics Practice Test 1; AP Physics C: Mechanics Practice Test 2; AP Physics C: Mechanics Practice Test 3; AP Physics C: Mechanics Practice Test 4; AP Physics C: …, Questions & Worked Solutions For AP Physics 1 2019. AP Physics 1 2019 Exam Questions (pdf) Corrections for Question 2: It should be T 2 is greater than T 1. Corrections for Question 5: The graph should have a cusp at L/2 instead of it looking like a smooth transition. AP Physics 1 2019 Exam Question 1. Identical blocks 1 and 2 are placed on a ..., 5 Questions Time—90 minutes. Directions: Questions 1, 4 and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space ...