The space `s` described in time `t` by a particle moving in a straight line is given by `s=t^5-40 t^3+30 t^2+80 t-250` . Find the minimum value of acceleration.

Explanation

Given: `s=t^{5}-40 t^{3}+30 t^{2}+80 t-250`


`Rightarrow frac{d s}{d t}=5 t^{4}-120 t^{2}+60 t+80`


Acceleration, `a=frac{d^{2} s}{d t^{2}}=20 t^{3}-240 t+60`


`Rightarrow frac{d a}{d t}=60 t^{2}-240`


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