Given fig. show the velocity-time graph for the motion of a certain body. Determine the nature of this motion. Find the initial velocity and acceleration and write the equation for the variation of displacement with time. What happens to the moving body at point B ? How will the body move after this moment ?
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Sol. The motion is uniformly retarded up to the point B and uniformly accelerated after the point B. At the moment that corresponds to the point B the body stops and then the direction of its velocity is reversed.
The initial velocity v 0 = 7 m/s and the acceleration a ≈ 0.64 m/s 2 . The equation of the path is S = 7t – 0.32t 2 .
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