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A particle moves with an initial velocity `V_(0)` and retardation `alpha v` , where `alpha` is a constant and v is the velocity at any time t. total distance covered by the particle isA. `(v_(0))/(2alpha)`B. `(v_(0))/(alpha)`C. `(3v_(0))/(2alpha)`D. None of these |
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Answer» Correct Answer - C Total distance …………… Retardation `=alpha V` ltbgt `V(dv)/(ds)= -alpha V implies overset(v)underset(v_(0))int dv= -alpha overset(s)underset(0)int ds` `V-V_(0)= -alpha(S-0)` `V = v_(0)-alpha S` when particle stops `V = 0` `V_(0)-alpha s = 0` `S = (V_(0))/(alpha)` |
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