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Question: Answered & Verified by Expert
The relation between time $t$ and distance $\mathrm{x}$ is $\mathrm{t}=a \mathrm{x}^2+\mathrm{bx}$ where $\mathrm{a}$ and $\mathrm{b}$ are constants. The acceleration is
PhysicsMotion In One DimensionJEE MainJEE Main 2005
Options:
  • A
    $-2 a b v^2$
  • B
    $2 b v^3$
  • C
    $-2 a v^3$
  • D
    $2 a v^2$
Solution:
1333 Upvotes Verified Answer
The correct answer is:
$-2 a v^3$
$$
t=a x^2+b x
$$
by differentiating acceleration $=-2 a v^3$

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