SPH3U Lesson Assignment 5 (docx)

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McMaster University *

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1C

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Physics

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Dec 6, 2023

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SPH3U Lesson 5 Assignment In this assignment you are going to focus on: Projectile Motion Total Marks: 63 marks Instructions: After completing the lesson action section of your home page, you are ready to complete your lesson assignment. Follow these steps. a) In the textbox given, explain the strategy that you used to determine your answer. b) Fill in your answer. The mark for each question is given at the introduction to the questions to be completed. c) When finished answering all your questions, save your file and upload the file into the appropriate dropbox. Part A (Using the Concepts): Multiple Choice: ( 28 marks) Each question is worth different marks according to the strategy used. If calculations are required, the mark for the strategy will worth more marks and the final answer will be worth one mark. Identify the choice that best completes the statement or answers the question. Your choices are given below the text box. Make sure you include your strategy. __A__ 1. (two marks) Which of the following forces are acting on a projectile? a. gravity b. a physical push c. electric forces d. the strong force __B__ 2. (two marks) If you launch a ball horizontally out of a window at the same time you drop a ball, which of the following things will happen? a. The ball launched horizontally will slow down. b. Both balls will fall at the same rate. c. The ball that was dropped will hit the ground first. d. The ball that was launched horizontally will hit the ground first. __D__ 3. (two marks) What is the biggest difference between a projectile motion problem and a river crossing problem? a. In a projectile motion problem there is an acceleration in the vertical direction. b. In a projectile motion problem the directions of velocity are not independent. SPH3U1 Lesson Assignment Page 1
c. In a projectile motion problem there is an acceleration in the horizontal direction. d. In a river crossing problem the directions of velocity are not independent. __B__ 4. (two marks) Which of the following describes the range of a projectile? a. the time it takes for the projectile to land b. the horizontal distance the projectile covers c. the appropriate angles in which the projectile can be launched d. the highest point above ground the projectile reaches _A___ 5. (two marks) What is the time of flight for a projectile that is launched horizontally from a platform 22 m high with an initial velocity of 5.3 m/s? a. 2.2 s b. 2.0 s c. 2.3 s d. 2.1 s __D__ 6. (two marks) What is the range for a projectile that is launched horizontally from a platform 38 m high with an initial speed of 3.5 m/s? a. 13.0 m b. 11.4 m c. 10.2 m d. 9.7 m __B__ 7. (two marks) Why do competitive swimmers jump slightly upward before diving into a race? a. to make a bigger splash when they hit the water b. to increase their horizontal velocity before hitting the water c. to increase the distance they travel before hitting the water d. to become more aerodynamic before hitting the water __D__ 8. ( three marks) A soccer player kicks a ball with an initial velocity of 10.2 m/s at an angle of 54.0° above horizontal. What is the time of flight for the ball? Assume the soccer field is level. a. 1.84 s b. 1.56 s c. 1.49 s d. 1.68 s SPH3U1 Lesson Assignment Page 2
__D__ 9. (three marks) Students launch a water balloon out of a water balloon launcher with an initial velocity of 32.0 m/s at an angle of 43.0° above horizontal at an initial height of 2.30 m. What is the maximum height that the water balloon reaches? a. 28.4 m b. 25.4 m c. 30.1 m d. 26.6 m _A___10. (three marks) What is the range of a cannonball that is fired at an angle of 62° above horizontal with an initial velocity of 85 m/s? Assume the ball is fired at ground level. a. m b. m c. m d. m __D__ 11. (three marks) Why can kinematics equations for a projectile be applied separately to the vertical and horizontal components? a. Air resistance doesn’t affect horizontal motion. b. Gravity affects horizontal motion the same as it does vertical motion c. The vertical acceleration depends on the initial horizontal speed. d. Horizontal and vertical motions are independent of one another. ___A_12. (two marks) Which of the following is true about horizontal and vertical motions of a projectile? a. They both take the same amount of time. b. They both have the same initial velocity. c. They both have the same acceleration. d. They both have the same distance. SPH3U1 Lesson Assignment Page 3
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Part B (Putting the Concepts to Work): Completion ( 35 marks): Using your reading, answer the following questions. Give your answer as well as your strategy for determining your answer. As part of your answer, give the page number in the reference material or the website that you used to find the answer to the question. 1. (three marks) Draw a scale diagram of a displacement vector of 500 m [E 24° N]. Include the scale you used in your drawing. Answers are attached. 2. (four marks) A cyclist is following a bicycle route through the streets of a city. Her route takes her 40 m [E], 65 m [N], and then 50 m [E]. Draw a scale diagram including each segment of her trip and use this to draw the resultant vector. Write a few sentences explaining how the vectors are added and how the resultant vector is determined. 3. (five marks) Alisa is helping her friend with her physics homework. They are adding together the two vectors and . Alisa says, “We just need to break each vector down into its component parts and add them together. In the west direction we should have: And for north and south we should have: Is Alisa’s work correct so far? If so, what are the component parts? If not, identify her mistake, make the corrections necessary, and determine the correct component parts. SPH3U1 Lesson Assignment Page 4
4. (three marks) A football player makes the opening kickoff and kicks the football with an initial velocity of 28 m/s at an angle of 40 above horizontal. Determine the range of the football. 5. (six marks) A student needs to get directly across a river that is 92 m wide. She is standing on the southern bank and has a boat that can travel at a speed of 4.0 m/s, but the current is travelling at 2.5 m/s [E]. (a) What is the resultant velocity of the boat if she points it straight across the river? (b) How far downstream is she away from her destination after reaching the other bank of the river? 6. (five marks) Often times in football a punter may not need to kick the ball very far, but rather kick the ball high so that the other players have a lot of time to run down and make a tackle. If a punter punts a ball from 1.5 m high with an initial velocity of 25 m/s at an angle of 72 to the horizontal, what are the maximum height and time of flight for the ball? Assume the ball lands on the ground. SPH3U1 Lesson Assignment Page 5
7. (five marks) A captain of a small boat has had a navigational equipment malfunction and is forced to navigate by using landmarks. He has determined that in 3.0 hours the boat has travelled 42 km south and 26 km west. Determine the heading (direction) the boat is travelling and the resultant velocity. 8. (four marks) A jet is travelling at a speed of 1200 km/h and drops cargo from a height of 2.5 km above the ground. Calculate the time it takes for the cargo to hit the ground and the range it travels. SPH3U1 Lesson Assignment Page 6
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