1.

Motion of a particle is given by equation `S = (3t^(3) + 7 t^(2) + 14 + t + 8)`m, The value of acceleration of the particle at t = 1 sec, is:A. `10 m//s^(2)`B. `32 m//s^(2)`C. `23 m//s^(2)`D. `16 m//s^(2)`

Answer» Correct Answer - B
`v = (ds)/(dt) = (d)/(dt) (3t^(3) + 7t^(2) + 14 t + 8)`
`= 9t^(2) + 14 t + 14`
`a = (dv)/(dt) = 18 t + 14` ltbr at, t= 1 sec
`a = 32 ms^(-2)`


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