Practice Problems: Motion Studies
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1. (easy) A woman walks in a straight line for 40 minutes at an average speed of 1.25 m/s. How far does she travel in this time?
2. (moderate) A car is traveling along a road. It moves according to the following equation:
x = 2.0t2 + 0.25t3 (x is in meters and t is in seconds)
a) What is the average velocity of the car between 0.0 and 2.0 seconds?
b) What is the average velocity between 2.0 and 4.0 seconds?
3. (moderate) Based upon the following data determine if the average acceleration of the object between 2.0 and 4.0 seconds has a bigger or smaller magnitude than the average acceleration between 4.0 and 6.0 seconds:
velocity at 2.0 seconds is 0.8 m/s
velocity at 4.0 seconds is 1.2 m/s
velocity at 6.0 seconds is 0.6 m/s
4. (hard) A car is moving along the x-axis of a coordinate system accoring to the following equation:
x = 20 + 5t2 (x is in meters and t is in seconds)
a) Find the displacement of the car between the first and second second.
b) Find the average speed during the first and second second.
c) Find the instantaneous velocity at t = 1 second.
5. (hard) A student jogs from home to the store. She runs at 1 m/s for 1/3 of the time and 1.5 m/s for the remaining time. On her way back home she runs at 1 m/s for half the distance and at 1.5 m/s for the rest of the trip. Find her average speed for the round trip.
Please supplement these problems with those found in your companion text.