As relay runner A enters the 65-ft-long exchange zone with a speed of 30 ft/s, he begins to slow down. He hands the baton to runner B 2.5 s later as they leave the exchange zone with the same velocity. Determine (a) the uniform acceleration of each of the runners, (b) when runner B should begin to ru

a)

b) For this case we can use this formula:

And replacinf for the runner B we got:

And the runner B should begin to run at:

Explanation:

For this case we have the following info given:

represent the initial velocity for runner A

represent the initial velocity for runner B

represent the difference of time between the two runners

represent the total distance for the exchange zone.

Part a

For this case we can use the following formula:

And we can define and we can convert this equation into:

And we can find the acceleration since we have all the other values like this:

And that would be the acceeleration for the runner A.

For the acceleration of the runner A we need to take in count that

And for this case we can use this:

And if we replace we got:

So for this case we have , and we can use this formula:

And solving for a we got:

Part b

For this case we can use this formula:

And replacinf for the runner B we got:

And the runner B should begin to run at:

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1 a

2 b

3 b

4 d

5 d

6 d

explanation: