the displacement of particle is given by at2 what is dependency of acceleration on time?
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Step-by-step explanation:
Let displacement be s and given that at any time t, s = at^2,
We have to find d^2s/ds^2 which is double differentiation of displacement which will give us acceleration at time t,
Therefore ds/dt = 2at and d^2s/ds^2 = 2a,
Thus we see that acceleration comes out to be 2a which is independent of time,
In this case, acceleration doesn’t depend on time
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