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Question

# A body covers 20 m, 22 m, 24 m, in 8th,9th and 10th seconds respectively. The body starts

A
from rest and moves with uniform velocity.
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B
from rest and moves with uniform acceleration.
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C
with an initial velocity and moves with uniform acceleration.
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D
with an initial velocity and moves with uniform velocity.
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Solution

## The correct option is C with an initial velocity and moves with uniform acceleration.The distance covered by the particle in nth second,Sn=u+a2(2n−1)S8=20mS8=u+a2(2×8−1)20=u+7.5a. . . . . . . . .(1)S9=22=u+a2(2×9−1)22=u+8.5a. . . . . . . .(2)By solving equation equation (1) and (2), we getu=5m/s , a=2m/s2Now, S10=u+a2(2×10−1)S10=5+12×2(2×10−1)S10=5+19=24mHence, body starts with the initial velocity and moves with uniform acceleration.The correct option is C.

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