# The acceleration of a particle starting from rest varies with time as a = αt + β. The velocity of the particle at time t is

13 Points
one year ago
In this question, we are given acceleration as a function of time. To find velocity as a function of time we can integrate the function as follows:
$\alpha t+\beta$….given
a=dv/dt=$\alpha t+\beta$
$\int dv=\int \alpha t+\beta dt$
v=$\alpha t^2/2+\beta t$