A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out length 𝑠 = 𝑡 3 + 5, where 𝑠 is in meter and t is in second. The radius of the path is 20 m. The acceleration of P when t =2s is nearly

Question : A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out length 𝑠 = 𝑡 3 + 5, where 𝑠 is in meter and t is in second. The radius of the path is 20 m. The acceleration of P when t =2s is nearly

(A) 13ms^{-2}

(B) 12ms^{-2}

(C) 7.2ms^{-2}

(D) 14ms^{-2}

Answer : option (D)

Solution :

A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out length 𝑠 = 𝑡 3 + 5, where 𝑠 is in meter and t is in second. The radius of the path is 20 m. The acceleration of P when t =2s is nearly

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