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A body is moving with uniform accelerati...

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

4m/s

B

2.5m/s

C

5.5m/s

D

11m/s

Text Solution

Verified by Experts

The correct Answer is:
C
`S = ut + 1/2 at^2`
first 5sec : t = 5sec
`40 = 5u + 1/2 a(5)^2 rArr 16 = 2u + 5a`
`t = 10 sec, S = 40+ 65 = 105m`
`=105 = 10u + 1/2 a (10)^2 rArr 21 = 2u + 10a`
By (ii)-2 x (i) <
`21 = 2u + 10a`
`32 = 4u + 10a`
`-11= -2u rArr u = 5.5 m//s`
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