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If a ball is thrown vertically upwards w...

If a ball is thrown vertically upwards with speed `u`, the distance covered during the last `t` second of its ascent is

A

`(1)/(2) "gt"^(2)`

B

`ut-(1)/(2) "gt"^(2)`

C

(u-gt)t

D

ut

Text Solution

Verified by Experts

The correct Answer is:
A
Let time for full vertical journey upwards = T distance =h
At top velocity is zero `:.` U-gT=0 or u =gT
Distance travelled in (T-t) , s =u (T-t) `-(1)/(2) g (T-t)^(2)`
Distance travelled in Ts = uT`-(1)/(2) gT^(2)`
`:.` Distance in last .t. s
`=(uT-(1)/(2)gT^(2))-{u(T-t)-(1)/(2)g(T-t)^(2)}`
Distance `=(1)/(2) "gt"^(2)`
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    A
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    B
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