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Question

A body covers 26,28,30 and 32 meters in 10th, 11th,12th and 13th 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 in nth second is



Sn=u+12(2n1)a
where u is initial velocity & a is acceleration
then, 26=u+19a2.........(1)
28=u+21a2..........(2)
30=u+23a2..........(3)
32=u+25a2............(4)
From eqs.(1)and (2) we get u=7m/s, a=2m/s2
The body starts with initial velocity u=7m/s and moves with uniform acceleration a=2m/s2

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