Question

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 a. 575 m b. 600 m c. 1000 m d. 625 m

Answer 1

Answer : D. 625 m

Formula for displacement :  $S = ut + \frac{1}{2} gt^2$

Since $u = 0$, $ut = 0$

Displacement of the body in the time interval 10-15 seconds = $S_{15}-S_{10}$

 = $\frac{1}{2}g (15^2 - 10^2)\\ \\\frac{1}{2} (10) (225-100) \\ \\ \frac{1250}{2} \\ \\ 625 m$