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Pete and Sue, two reckless teenage drivers, are racing eastward along a straight stretch of highway. Pete is traveling at 90.0 km/h, and Sue is chasing him at 129 km/h.

(Indicate the direction with the sign of your answer. Take east to be the positive direction.)

(a) What is Pete's velocity with respect to Sue? _______ km/h

(b) What is Sue's velocity with respect to Pete? _______ km/h

(c) If Sue is initially 320 m behind Pete, how long will it take her to catch up to him? _______ seconds

Answer :

Final answer:

Pete's velocity with respect to Sue is -39 km/h, while Sue's velocity with respect to Pete is 39 km/h. The negative and positive signs indicate westward and eastward directions, respectively. It would take Sue approximately 0.49 minutes to catch up to Pete.

Explanation:

(a) The velocity of Pete with respect to Sue is determined by subtracting Sue’s velocity from Pete's. So, Pete's velocity with respect to Sue is 90 km/h - 129 km/h = -39 km/h. The negative sign indicates that Pete’s velocity is westward with respect to Sue.

(b) Similarly, Sue's velocity with respect to Pete is 129 km/h - 90 km/h = 39 km/h. The positive sign indicates that Sue’s velocity is eastward with respect to Pete.

(c) The time it will take for Sue to catch up to Pete can be calculated by dividing the initial distance between them by the relative velocity of Sue with respect to Pete. The initial distance is 320 m (or 0.32 km) and the relative velocity is 39 km/h. So, the time it will take is 0.32 km / 39 km/h = 0.0082 hours, which is approximately 0.49 minutes or 29.5 seconds.

Learn more about Relative Velocity here:

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