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Q.

A particle is moving along X-axis. At instant t_o, instantaneous velocity is equal to average velocity between $t = 0 to t = t_{0}$ . The value of $t_{0} is \frac{16}{n} s$
The value of n is _________.

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answer is 5.

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Detailed Solution

$From figure, the average velocity = \tan θ = \frac{3}{4}$

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$\begin{array}{l} Also, \cos θ = \frac{t_{0}}{4} or \frac{4}{5} = \frac{t_{0}}{4} \\ ∴ t_{0} = \frac{16}{5} \\ ∴ n = 5 \end{array}$

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