# A body starts from rest, with uniform acceleration 𝑎. The acceleration of a body as function of time 𝑡 is given by the equation 𝑎 = 𝑝𝑡 where 𝑝 is constant, then the displacement of the particle in the time interval 𝑡 = 0 to 𝑡 = 𝑡1 will be

Question : A body starts from rest, with uniform acceleration 𝑎. The acceleration of a body as function of time 𝑡 is given by the equation 𝑎 = 𝑝𝑡 where 𝑝 is constant, then the displacement of the particle in the time interval 𝑡 = 0 to 𝑡 = 𝑡1 will be

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

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

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

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