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Question

A body is moving with uniform acceleration describes 40 m in the first 5 sec and 65 m in next 5 sec . Its initial velocity will be

A
4 m/s
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B
2.5 m/s
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C
5.5 m/s
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D
11 m/s
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Solution

The correct option is C 5.5 m/s


S1=ut+12at2 .........(i)

and velocity after first t sec
v=u+at

Now, S2=vt+12at2

=(u+at)t+12at2 ............(ii)
Equation (ii)-(i) S2S1=at2

a = S2S1t2=6540(5)2=1 m/s2

From equation (i), we get,
S1=ut+12at2 40=5u+12×1×25
5u=27.5 u=5.5 m/s


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