# The acceleration 𝑎 of a particle starting from rest varies with time according to relation 𝑎 = 𝛼𝑡 + 𝛽. The velocity of the particle after a time 𝑡 will be

Question : The acceleration 𝑎 of a particle starting from rest varies with time according to relation 𝑎 = 𝛼𝑡 + 𝛽. The velocity of the particle after a time 𝑡 will be

(A) $\dfrac{at^{2}}{2}\beta$

(B) $\dfrac{at^{2}}{2}\beta t$

(C) $at^{2}+\dfrac{1}{2}\beta t$]

(D) $\dfrac{\left( at^{2}+B\right) }{2}$

Solution :

Tags: No tags