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A particle is moving in a straight line ...

A particle is moving in a straight line with initial velocity `u` and uniform acceleration `f`. If the sum of the distances travelled in `t^(th) and (t + 1)^(th)` seconds is `100 cm`, then its velocity after `t` seconds, in `cm//s`, is.

A

20

B

30

C

50

D

80

Text Solution

Verified by Experts

The correct Answer is:
C
`S_(1)+S_(t+1)=100`
`u+(1)/(2)f(2t-1)+u+(1)/(2)f[2(t+1)-1]=100`
`2u+(1)/(2)f(2t-1+2t+1)=100`
`2u+2ft=100`
`u=ft=50`
`v=50cm//s`.
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