If the velocity varies parabolically, how does the acceleration vary?
I got this question in an online quiz.
My question is from Motion in a Straight Line topic in portion Motion in a Straight Line of Physics – Class 11
Select the correct answer from above options
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Correct choice is (a) Linearly
To explain I would say: Velocity varies parabolically implies that velocity is of the form at + bt^2. On differentiating the velocity, we get the equation for acceleration. Therefore, a = dv/dt = a+2bt, which is a linear equation. Hence the acceleration varies linearly.