A body starts accelerating from rest under gravity. What is the displacement of the body in the time interval of the 10-15 seconds? (Assume $g = 10 {m s}^{- 2}$ )

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Solution

Given, initial velocity, $u = 0 m s^{- 1}$ and acceleration, $a = 10 m s^{- 2}$
From the first equation of motion, we have, $v = u + a t$
Velocity after 10 seconds is
$v = 0 + 10 \times 10$ $= 100 m s^{- 1}$
Now we have to find the displacement between 10 to 15 seconds
In this case, initial velocity, $u = 100 m s^{- 1}$
Time taken, $t = 15 - 10 = 5 s$
Let 's' be the displacement.
From the second equation of motion, we have,
$s = u t + \frac{1}{2} a t^{2}$
$\Rightarrow s = 100 \times 5 + \frac{1}{2} \times 10 \times 5^{2}$
$\Rightarrow s = 500 + 125 = 625 m$

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A body starts accelerating from rest under gravity. What is the displacement of the body in the time interval of the 10-15 seconds? (Assume g=10 ms−2)

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