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If displacement is directly proportional to square of time then prove that the body moves with constant acceleration??

If displacement is directly proportional to square of time then prove that the body moves with constant acceleration??

Grade:9

1 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
Dear student,

We havex\propto t^2\implies x=kt^2

\implies v=\dfrac{dx}{dt}=2kt

\implies a=\dfrac{dv}{dt}=2k=constant

Hope it helps. Regards.

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