Question

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

• A. 575 m
• B. 600 m
• C. 1000 m
• D. 625 m

Answer 1

The correct option is D

625 m

Initial velocity (u) = 0 $\frac{m}{s}$

Velocity after 10 sec => v = u + at

v = 0 + 10*10 = 100 $\frac{m}{s}$

Displacement between 10 to 15 sec =>

New initial velocity = 100 $\frac{m}{s}$

Time period = 15-10 = 5 sec

s(displacement) = u × t +($\frac{1}{2}$) a × t × t

= 100 × 5 + ($\frac{1}{2}$) ×10 × 5 × 5

= 500 + 125 = 625 m