A body starts from rest, with uniform acceleration π‘Ž. The acceleration of a body as function of time 𝑑 is given by the equation π‘Ž = 𝑝𝑑 where 𝑝 is constant, then the displacement of the particle in the time interval 𝑑 = 0 to 𝑑 = 𝑑1 will be

Question : A body starts from rest, with uniform acceleration π‘Ž. The acceleration of a body as function of time 𝑑 is given by the equation π‘Ž = 𝑝𝑑 where 𝑝 is constant, then the displacement of the particle in the time interval 𝑑 = 0 to 𝑑 = 𝑑1 will be

(A) \dfrac{1}{2}pt_{1}^{3}

(B) \dfrac{1}{3}pt_{1}^{2}

(C) \dfrac{1}{4}pt_{1}^{2}

(D) \dfrac{1}{6}pt_{1}^{3}

Answer : option (A)

Solution :

A body starts from rest, with uniform acceleration π‘Ž. The acceleration of a body as function of time 𝑑 is given by the equation π‘Ž = 𝑝𝑑 where 𝑝 is constant, then the displacement of the particle in the time interval 𝑑 = 0 to 𝑑 = 𝑑1 will be
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