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Question

# A body covers 26 and 28 meters in 10th and 11th 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.Distance covered by a body in nth second is given by snth=u+a2(2n−1) ⇒ s10th=u+a2(2×10−1) ⇒ 26=u+19a2......(i) Similarly, s11th=u+a2(2×11−1) ⇒ 28=u+21a2.......(ii) On solving (i) & (ii), we get u=7 m/s,a=2 m/s2 Hence, the body starts with initial velocity and moves with uniform acceleration.

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