Question

The acceleration a(t) of a moving object is given by the derivative of the velocity function v(t). Find the acceleration of the object at time t=5 seconds if v(t)=12tsquared+8t meters per second. Thanks for any help.

Answer 1

v = 12 t^2 + 8 t
dv/dt = a = 24 t + 8
a(5) = 24*5 + 8
= 128