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Two cars `P` and `Q` start from a point at the same time in a straight line and their position are represented by `x_p(t) = at + bt^2` and `x_Q (t) = ft - t^2`. At what time do the cars have the same velocity ?A. `(a - f)/(1 + b)`B. `(a + f)/(2 (b - 1))`C. `(a + f)/(2 (1 + b))`D. `(f - a)/(2 (1 + b))` |
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Answer» Correct Answer - D `v_(P) = a + 2 bt` `v_(Q) = f - 2t` `v_(P) = v_(Q) rArr a + 2bt = f - 2t` `t = (f - a)/(2 (b + 1))` |
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