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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

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B

600 m

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C

1000 m

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D

625 m

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Solution

## The correct option is D 625 mGiven, initial velocity, u=0 ms−1 and acceleration, a=10 ms−2 From the first equation of motion, we have, v=u+at Velocity after 10 seconds is v=0+10×10 =100 ms−1 Now we have to find the displacement between 10 to 15 seconds In this case, initial velocity, u=100 ms−1 Time taken, t=15−10=5 s Let 's' be the displacement. From the second equation of motion, we have, s=ut+12at2 ⇒s=100×5+12×10×52 ⇒s=500+125=625 m

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