CALC Two cars, A and B, travel in a straight line. The

Chapter 2, Problem 2.95

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QUESTION:

CALC Two cars, A and B, travel in a straight line. The distance of A from the starting point is given as a function of time by with and The distance of B from the starting point is with and (a) Which car is ahead just after they leave the starting point? (b) At what time(s) are the cars at the same point? (c) At what time(s) is the distance from A to B neither increasing nor decreasing? (d) At what time(s) do A and B have the same acceleration?

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QUESTION:

CALC Two cars, A and B, travel in a straight line. The distance of A from the starting point is given as a function of time by with and The distance of B from the starting point is with and (a) Which car is ahead just after they leave the starting point? (b) At what time(s) are the cars at the same point? (c) At what time(s) is the distance from A to B neither increasing nor decreasing? (d) At what time(s) do A and B have the same acceleration?

ANSWER:

Step 1 of 5

The equation of motion of  car A:

……………………………………………..(1)

The equation of motion of car B:

…………………………………………..(2)

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