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Cars A and B are racing each other along the same straight road in the following

ID: 2222338 • Letter: C

Question

Cars A and B are racing each other along the same straight road in the following manner: Car A has a head start and is a distance Da beyond the starting line at t=0 . The starting line is at x=0. Car A travels at a constant speed Va. Car B starts at the starting line but has a better engine than Car A, and thus Car B travels at a constant speed Vb, which is greater than Va. How long after Car B started the race will Car B catch up with Car A? Express the time in terms of given quantities. T catch = ? How far from Car B's starting line will the cars be when Car B passes Car A? Express your answer in terms of known quantities. (You may use T catch as well.)

Explanation / Answer

t catch = DA/(VB - VA) d pass = VB*t catch