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Question: Answered & Verified by Expert
A body is moving according to the equation $x=a t+b t^2-c t^3$ where $x=$ displacement and ${ }^{a, b}$ and $c$ are constants. The acceleration of the body is
PhysicsMotion In One DimensionJEE Main
Options:
  • A $a+2 b t$
  • B $2 b+6 c t$
  • C $2 b-6 c t$
  • D $3 b-6 c t^2$
Solution:
2408 Upvotes Verified Answer
The correct answer is: $2 b-6 c t$
$x=a t+b t^2-c t^3, a=\frac{d^2 x}{d t^2}=2 b-6 c t$

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