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A body is moving according to the equati...

A body is moving according to the equation `x = at +bt^(2) - ct^(3)` where x = displacement and a,b and c are constants. The acceleration of the body is

A

`a + 2bt`

B

`2b + 6ct `

C

`2b-6ct`

D

`3b - 6ct ^2`

Text Solution

Verified by Experts

The correct Answer is:
C
`x=at + bt^(2) -ct^(3) , v = (dx) /(dt) = a + 2bt - 3ct^(2)`
Acceleration = `(dv)/(dt) = 2b - 6ct`
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