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Harvard University *

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May 25, 2024

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Name : ________________________________________ Period: ________ Physics 1 Honors Homework Packet – Topic 2 – Constant Velocity Particle This packet contains questions for the entire topic. Not all questions will be assigned at the same time. As we review the content in class, you will be assigned specific problems which will be due the following class. Each problem will be stamped in class the day it is due, provided you show the work necessary and the answer. The completed packet with stamps will be turned in on the day of the test.
Question #1 Given below is the motion diagram of a small ball rolling straight on a frictionless surface. The time interval between successive positions is 1 s. a. What is the displacement of the ball after 3 s? b. b. Where does the ball reach after 5 s? c. After rolling for 7 s, the direction of motion of the ball is changed. It starts rolling toward its starting point. Assume the coordinate system and the speed of the ball to remain unchanged. What is the displacement of the ball between 7 s and 9 s?
Question #2 A bowler rolls a bowling ball down the gutter. The ball travels 60 feet in 5 seconds. a. Draw a particle model motion diagram with 1 second intervals. b. Construct the corresponding position-time graph.
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Question #3 A mouse is running at a high speed between the kitchen and storeroom, situated along the same line in a building. A boy observes the mouse picking up pieces of bread from the kitchen and leaving them in a box in the storeroom. The boy observes the positions of the mouse after fixed intervals. He finds that the mouse travels the same displacement of 2.0 m in every half second. Starting from the door of the kitchen, the mouse reaches the door of the storeroom in 3.0 s. a. Make a position-time table for the motion of the mouse from the kitchen to the storeroom. b. Draw the particle model of this motion. c. Convert this model into the corresponding position-time graph.
Question #4 You are making a map of some of your favorite locations in town. The streets run north–south and east–west and the blocks are exactly 200 m long. As you map the locations, you walk three blocks north, four blocks east, one block north, one block west, and four blocks south. a. Draw a diagram to show your route. b. What is the total distance that you traveled while making the map? c. Use your diagram to determine your final displacement from your starting point. d. What vector will you follow to return to your starting point?
Question #5 The position-time graph below represents the motion of three people in an airport moving toward the same departure gate. a. Which person travels the farthest during the period shown? b. Which person travels fastest by riding a motorized cart? How can you tell? c. Which person starts closest to the departure gate? d. Which person appears to be going to the wrong gate?
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Question #6 A bus travels on a northbound street for 20.0 s at a constant velocity of 10.0 m/s. After stopping for 20.0 s, it travels at a constant velocity of 15.0 m/s for 30.0 s to the next stop, where it remains for 15.0 s. For the next 15.0 s, the bus continues north at 15.0 m/s. a. Construct a  position-timet  graph of the motion of the bus. b. What is the total distance traveled? c. What is the average velocity of the bus for this period?
Question #7 Thomas cycles on a straight road near his house. After some time, his sister Anna also starts cycling. Their motions are represented by the position-time graphs given below. a. How long had Thomas been cycling when Anna started cycling? b. What is the position at which Anna crosses Thomas? c. What is the difference between their positions after 5 s?
Question #8 Two drivers (driver A and driver B) are traveling in opposite directions on a long, straight road at different constant velocities. Their motions are represented by the position-time graphs of each, shown below. a. How long had driver A already been driving when driver B started to drive? b. How long had driver A been driving when she was 30 km away from her starting point? c. Which driver is faster? d. What happens at point P?
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Question #9 In 2005, Lance Armstrong won the 92nd Tour de France by riding 3608 km in 86 hours, 15 minutes and 2 seconds. Ivan Bosso came in second, 4 minutes and 41 seconds behind Armstrong. Michael Rasmussen came in 7th place, 11 minutes and 33 seconds behind Armstrong. What was the average velocity for each rider?
Question #10 Fluffy, a greyhound, travels 15 m in 2 seconds while another greyhound, Tiberius, travels 20 m in 3 seconds. Which dog runs faster?
Question #11 A bird flutters around in a tree in a path described by the dark line: Which vector represents the average velocity of the bird?
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Question #12 Assuming constant velocities, if a fastball pitch is thrown and travels at 40 m/s toward home plate, 18 m away, and the head of the bat is simultaneously traveling toward the ball at 18.0 m/s, how much time elapses before the bat hits the ball? Draw a position-time graph to help you arrive at your answer. a. About 0.3 s b. About 0.6 s c. About 0.9 s d. About 1.2 s
Question #13 Duplain St. is 300 m long and runs from west to east between Baron and Burkey. If Keith is strolling east from Baron at an average velocity of 3 km/hr, and Sue is power-walking west from Burkey at an average velocity of 6 km/hr, how long will it take them to meet? Draw a position-time graph to help you arrive at your answer. a. 1 minute b. 2 minutes c. 3 minutes d. 6 minutes
Question #14 Josephine and Sunhee are playing shuffleboard on the deck of a cruise ship. The ship is sailing due north at a speed of 3.0 m/s. If Sunhee slides her puck along the deck, from the front toward the back of the ship at 7.0 m/s, what is the velocity of the puck relative to the water?
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