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Displacement x = t^(3) - 12t + 10. The a...

Displacement `x = t^(3) - 12t + 10`. The acceleration of particle when velocity is zero is given by

A

12 units

B

10 units

C

2 units

D

1 units

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `x = t^(3) - 12t + 10`
Velocity `= (d x)/(d t) = 3t^(2) - 12`
`therefore` when velocity is zero, `3t^(2) - 12 = 0`
`therefore t = 2`
Acceleration `= (d^(2)x)/(d t^(2)) = 6t`
At t = 2, acceleration = 12 units
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