Note: Use principles of physics to solve the problem and then verify your answer

Question

Note: Use principles of physics to solve the problem and then verify your answer using the simulation.
Set the blue ball's acceleration to 1.0 m/s2. Note that the finish line is 20.0 meters from the start.

the red ball finished in 3.98 s.
(a) By what distance does the red (upper) ball win the race?


12 m (i got this answer correct)

(b) If the motion was allowed to continue the blue (lower) ball would reach the finish line at some time ?t after the red ball. What is ?t?


_________ s
(c) Now set the acceleration to the value required for the two balls to reach the finish line at the same time. Which of the following statements is/are true for this situation?
1. The balls have the same average acceleration.
2. The balls have the same average velocity.
3. The balls have the same average speed.
4. At the instant they reach the finish line the balls have the same velocity.
5. All of the above.
6. Choices 1, 2, and 3 are correct.
7. Choices 2 and 3 are correct.
8. Choices 2 and 4 are correct.

Explanation / Answer

for red ball: v = 5 m/s, s = 20.0 m, t = s/v = 4.0 s for blue ball: a = 1.0 m/s2, t = 4.0 s, s = at2/2 = 8.0 m a) the required distance = 20.0 - 8.0 = 12.0 m b) for blue ball: a = 1.0 m/s2, s = 20.0 m, s = at2/2, t = v(2s/a) = 6.32 s so the required time is 2.32 s c) 7 Choices 2 and 3 are correct.

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