Question
The displacement of a particle is given by $at^2$. What is dependency of acceleration on time?
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Answer
Let x be the displacement. Then, $x = at^2 \therefore$ Velocity of the object, $\text{v}=\frac{\text{dx}}{\text{dt}}=2\text{at}$ Acceleration of the object, $\text{a}=\frac{\text{dv}}{\text{dt}}=2\text{a}$ It means that a is constant.
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