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Non Uniform Motion & Avg Velocity

The position ...

Question

The position of a particle moving along $x - a x i s$ is given by $x = 10 t - 2 t^{2}$ . Then the time (t) at which it will momently come to rest is

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Solution

$x = 10 t - 2 t^{2}$
On differentiating with respect to t
$v = 10 - 4 t$
It momentarily comes to rest v=0
t=2.5 secs

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