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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

80

D

50

Text Solution

Verified by Experts

The correct Answer is:
D
`s_(t) = u + (t)/(2)(2t-1), `s_(t+1) = u + (t)/(2)(2t + 1)`
`s_(1) + s_(t+1) = 100, " " v = u + ft`
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