 What is the average velocity of a man who runs forward at 8 m/s for 9 s and back again at 5 m/s for 3 s after an 8 s break?
- Two cyclists that are 500 m apart start biking toward each other. They bike at speeds of 6 and 4 m/s.
- How long does it take for them to reach each other?
- How far does the slower biker travel?
- The velocity versus time graph above represents the motion of a ball that is thrown upward. Use the graph to calculate the maximum height the ball reaches.
 A runner passes the 2,000 m mark of a race 380 s after starting. At what time (after starting) will the runner reach the 5,000 m mark if her speed remains constant?
- A submarine must reach a marker 290 km from shore 9 hr after leaving port. At what time will the submarine pass a marker that is 125 km from shore? Assume constant-velocity motion.
- A person 200 m from a store walks directly away from the store at a constant velocity of 2.5 m/s for 65 s. How far is the person from the store now?
- An asteroid is 180,000 km away from the Moon on a collision course. How much time will it take before the asteroid is 10 km away if it is moving at a constant velocity of 36,000 m/s? You may neglect the effects of the Moon’s gravity.
- A tennis ball is moving 30 m/s toward a player who swings a racquet at a velocity of 15 m/s toward the ball. What is the velocity of the ball relative to the racquet?
| | - A sprinter running at 9 m/s is chasing a long distance runner who runs at 7 m/s. The long distance runner starts 200 m ahead. The sprinter, however, can only run for 2 min without stopping. Does the sprinter catch the distance runner?
- The figure shows the velocity versus time graph for a game of catch played between Stuart and Eve.
- Who has run farther after 6 s?
- Who has a greater total displacement from their starting position after 10 s?
- After 22 s, who has a greater displacement?
- Who has covered more distance after 22 s?
- Niels is running 5 m/s toward Erwin, who runs 3 m/s toward Niels. From Erwin’s reference frame, how fast is Niels moving toward him? From Niels’s reference frame, how fast does Erwin move toward him?
- Two people pass the 2,000 meter mark on a walking trail at the same time, going in the same direction. Jordan is jogging at 2.2 m/s and Annette is walking at 1.2 m/s. How much time passes before the two people are 100 m apart? Assume they maintain constant speed.
- During which time interval does the velocity versus time graph not match the corresponding interval on the position versus time graph? Why?
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