A body starts to slide over a horizontal surface with an initial velocity of $0.5\ m/s$. Due to friction, its velocity decreases at the rate of $0.05\ m/s^2$. How much time will it takes for the body to stop?

Here, initial velocity $u=0.5\ m/s$

Final velocity $v=0$

Acceleration $a=-0.05\ m/s^2$      [because the velocity is decreasing]

Let the body will take $t\ second$ to stop.

On using the equation of motion, $v=u+at$

$0=0.5-0.05\times t$

Or $0.05t=0.5$

Or $t=\frac{0.5}{0.05}$

Or $t=10\ second$

Therefore, the body will take $10\ seconds$ to stop. 

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Updated on: 10-Oct-2022

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