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A body covers 6m in 3rd second and 10min...

A body covers 6m in 3rd second and 10min 5th second. If motion is uniformly accelerated, how far will it travel in the next three seconds (from t = 5 sec. to t = 8 sec).

A

`42m`

B

`72m`

C

`12m`

D

`16m`

Text Solution

Verified by Experts

The correct Answer is:
A
A body covers ………………
`S_(3)rd = 6`
`U + (a)/(2)(2xx3-1) = 6`
`u+(5a)/(2) = 6` … (1)
`S_(5th) = 10`
`u + (a)/(2) (2xx5-1) = 10`
`u+(9a)/(2) = 10` ………(2)
from (a) and (2) we get
`u = 1m//s` , `a = 2m//s^(2)`
now distance travelled in next 3 second `= S_(8) - S_(5)`
`= (1xx8+(1)/(2)xx2xx8^(2)) - (1xx5+(1)/(2)xx2xx5^(2)) = 42m`
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