1. I Can Distinguish Between and Calculate Distance and Displacement
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1-D Motion Review Worksheet
I Can Statements: 1. I can distinguish between and calculate distance and displacement. 2. I can distinguish between and calculate average speed, instantaneous speed, and velocity. 3. I can understand and calculate acceleration. 4. I can use the kinematic equations to solve motion problems. 5. I can prepare and analyze distance-time, velocity-time, and acceleration-time graphs of motion. 6. I can describe and calculate distance, time, and instantaneous speed of objects in free fall.
Distance, Speed, and Acceleration: In one of Michael Phelps’ best events, he must swim the length of the pool 4 times. One length of the pool is 50 m long. His best time for this event is 1 minute and 42 seconds. 1. What is the total distance that Phelps’ swam upon completion of the race? 2. What is Phelps’ total displacement upon completion of the race? 3. Phelps’ average speed during the race is 4. Phelps’ average velocity during the race is 5. During a trip, a car drove 65 miles during the first hour, 35 miles during the second hour, and 15 miles in the last half hour. What is the car’s average speed for the entire trip? 6. A rocket travels at a speed of approximately 1000 ft/s in order to break through earth’s atmosphere. If it travels at this speed for 30 seconds, how far does the rocket travel? [record your answer in scientific notation] 7. How long does it take an object to cover a distance of 140 meters if it is traveling at a speed of 25 m/s? 8. A bus driver going 18 m/s slows to a stop over a period of 10 seconds in order to drop some students off. Calculate the bus’s acceleration. Kinematic Equations: 1. If a car accelerates uniformly from rest to 30 m/s over a distance of 175 meters, what is the acceleration of the car? 2. An object accelerates uniformly from 7.0 m/s to 10.2 m/s in 4.0 seconds. What is the acceleration of the object? 3. A car traveling on a straight road at 12 m/s accelerates uniformly to a speed of 18 m/s in 7 seconds. What is the total distance traveled by the car during this time interval? 4. A tennis ball is dropped from a height of 4.0 meters to the surface of a planet in 2.5 seconds. What is the acceleration of the object? 5. An object with an initial velocity of 2.5 m/s undergoes a constant acceleration of 0.95 m/s 2. If the object undergoes this acceleration for 10 seconds, how far does it travel? Free Fall: 6. A tennis ball is thrown vertically upward with an initial velocity of 12.5 m/s. What is the maximum height reached by the ball? 7. A rock is dropped from the roof of a building. What is the total distance the rock falls after 2 seconds? 8. If an object that is dropped from the roof of a building takes 12 seconds to hit the ground, how high up was it dropped from? 9. A bowling ball and a tennis ball are dropped at the same time. Which one will hit the ground first? [NEGLECT AIR RESISTANCE] Graphing:
Describe the motion of the object in each of the following graphs:
Time Interval Velocity Acceleration 0-10 min 10-15 min 15-40 min 40-55 min
What is the displacement of the object, showed in the graph above?
What is the total distance traveled by the object during the 12 second interval? ______
What is the object’s total displacement? ______
How would you describe the motion of the object during the following intervals: 0-4 s: ______ 4-6 s: ______ 10-12 s: ______Sketch three motion diagram of a person running a race. Make sure to include velocity and acceleration arrows. a) speed up, b) maintain a constant velocity, c) slow down