If the velocity 𝑣 of a particle moving along a straight line decreases linearly with its displacement s from 20ms −1 to a value approaching zero 𝑠 = 30 m, then acceleration of the particle at s = 15m is

Question : If the velocity 𝑣 of a particle moving along a straight line decreases linearly with its displacement s from 20ms −1 to a value approaching zero 𝑠 = 30 m, then acceleration of the particle at s = 15m is

(A) \dfrac{2}{3}ms^{-2}

(B) -\dfrac{2}{3}ms^{-2}

(C) \dfrac{20}{3}ms^{-2}

(D) -\dfrac{20}{3}ms^{-2}

Answer : option (D)

Solution :

If the velocity 𝑣 of a particle moving along a straight line decreases linearly with its displacement s from 20ms −1 to a value approaching zero 𝑠 = 30 m, then acceleration of the particle at s = 15m is
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