Observers A and B move along the same straight track in the east–west direction

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Observers A and B move along the same straight track in the east–west direction. Observer B moves 4 m/s east relative to Observer A. Both observers independently measure the velocity of the same skateboard. Observer A measures the skateboard’s velocity as 3 m/s east relative to A, while Observer B measures it as 1 m/s west relative to B. Which of the following best describes the possible velocity of Observer A relative to the ground? (a) Exactly 4 m/s4\,\text{m/s} east (b) Exactly 0 m/s0\,\text{m/s} (Observer A stationary relative to the ground) (c) It may have any value; the observations are satisfied for every constant speed of Observer A. (d) Exactly 7 m/s7\,\text{m/s} east

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