Question

displacement of a body is related with time t=√x+3 where time is in second and x in metre calculate the time when velocity of the body is 0​

Answer 1

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The answer is as follows

$as \\ t = \sqrt{x} + 3 \\ \sqrt{x} = t - 3 \\ x = {t}^{2} - 6t + 9 \\ so \\ \frac{dx}{dt} = 2t - 6 + 0 \\ v = 2t - 6 \\ \\ so \: at \: v = 0 \\ \\ 0 = 2t - 6 \\ 2t = 6 \\ t = 3$

So the time will be 3 second.

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