Question

Instantaneous velocity of an object varies with time as v = a - Bt2. Find maximum positive
displacement from origin assuming a, ß are positive constants.
​

Answer 1

=To find max displacement put v=0 for positive maxima you will get value of t= (a/b)^1/2

then integrate the equation since v=dx/dt

add limit of t from t=0 to t=(a/b)1/2

you will get the answer