Question

Following information about an object's motion is given: a = t² 

Initial velocity = u 

Find: (i) velocity (v) as a function of time. 

(ii) Displacement (x) a function of time. 

Answer 1

This is the case of motion with non-uniform acceleration. Acceleration is given as a function of time. Change in velocity can be found by integrating the expression for acceleration with respect to time. Displacement can be found by integrating the expression for velocity.