At t = 0, car A passes a milepost at constant speed vA. Car B passes the same mi

Question

At t = 0, car A passes a milepost at constant speed vA. Car B passes the same milepost at constant speed vB > vA after a time interval ?t has elapsed.

Problem 2.76 At t 0, car A passes a milepost at constant speed vA. Car B passes the same milepost at constant speed vB vA after a time interval At has elapsed. Part A At what instant does car B catch up to car A? Express your answer in terms of vA, vB, and At Submit My Answers Give U Part B How far past the milepost does this happen? Express your answer in terms of vA, vB, and At Submit My Answers Give U

Explanation / Answer

Let’s say the car B catches up with car A at time t

Now they are d meters from the milepost.

The car A crossed this distance at time

d = VAt = VB(t-t)

VA/VB = 1 – t/t

t = tVB/(VB-VA)

d = VA (t)

d = VA VB t /(VB – Va)

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