Answer to Question #203154 in Physics for Taati

Question

The velocity v of a particle at time t is given by V= at ^2

Answer 1

I assume the task is to find the acceleration of the particle. By definition, the acceleration is the derivative of velocity with respect to time. Thus:

$$a = \dfrac{dv}{dt} = \dfrac{d}{dt}(at^2) = 2at$$

Answer. 2at.