When two bodies move toward each other with constant speeds the distance between them decreases at the rate of 6m / sec. If they move in the same direction the distance between them increases at the rate of 4m/sec. Then their speeds are________________?
Correct answer: A. 5m/s, 1m/s
- A. 5m/s, 1m/s
- B. 3m/s, 3m/s
- C. 6m/s, 1m/s
- D. 4m/s, 2m/s
Explanation
When the bodies move toward each other, their relative speed is v1 + v2 = 6 m/s; moving in the same direction, it is v1 - v2 = 4 m/s. Solving gives 2v1 = 10 m/s, so v1 = 5 m/s and v2 = 1 m/s, making option a correct; option d incorrectly treats the relative speeds as the individual speeds.
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Displacement is the directed change in position, while velocity is the rate of change of displacement and includes both magnitude and direction. The topic connects position-time and velocity-time graphs with average and instantaneous values, and distinguishes displacement from distance and velocity from speed.
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