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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(2n1)
s10th=u+a2(2×101)
26=u+19a2......(i)
Similarly, s11th=u+a2(2×111)
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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