The distance covered by a body in time t starting from rest is__________________?
Correct answer: A. at2/2
- A. at2/2
- B. Vt
- C. a2t/2
- D. at2
Explanation
For motion from rest with constant acceleration, initial velocity u = 0, so displacement s = ut + 1/2 at^2 = 0 + 1/2 at^2 = at^2/2 metres, where a is in m/s^2 and t is in seconds. The likely trap is option d, at^2, which misses the factor 1/2 from the average velocity.
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About Displacement and Velocity
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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