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The displacement of a particle is descri...

The displacement of a particle is described by `x = t + 2t^(2) + 3t^(3) - 4t^(4)`. The acceleration at t = 3s is

A

`+ 378` units

B

`+ 374` units

C

`- 374` units

D

`- 378` units

Text Solution

Verified by Experts

The correct Answer is:
C
`x = t + 2t^(2) + 3t^(3) - 4t^(4)`
Velocity `= (dx)/(d t) = 1 + 4t + 9t^(2) - 16t^(3)`
Acceleration `= (d^(2)x)/(d t^(2)) = 4 + 18t - 48t^(2)` At t = 3,
Acceleration = -374 units
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