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

Question

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.
(a) By what distance does the red (upper) ball win the race?

(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?
(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?

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 = (2s/a) = 6.32 s

so the required time is 2.32 s

c) 7

 

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