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Equation of displacement for any particl...

Equation of displacement for any particle is `s = 3t^(3) +7t^(2) +14t8m`. Its acceleration at time `t = 1` sec is

A

`10 m//s^2`

B

`16m//s^2`

C

`25m//s^2 `

D

`32m//s^2`

Text Solution

Verified by Experts

The correct Answer is:
D
`s = 3t^2 + 7t^2 + 14t + 8`
`rarr v = (ds)/(dt) = 9t^2 + 14t + 14`
`rarr a = (dv)/(dt) = 18t + 14`
at `t = 1 sec , a= 32 m//s^2`
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