a mass is hanging from a spring that is moving as v(t) = 8.8sin(8.3t). So the veloci

Question

A mass is hanging from a spring that is moving as v(t) = 8.8sin(8.3t). So the velocity is at 0 m/s on a periodic basis. For example, when t = 0 s, the velocity is 0 m/s. What is the ACCELERATION of the mass when the velocity at the NEXT possible time (after 0 seconds) where the velocity is 0 m/s? Report your answer to the tenth's decimal place.

Answer 1

The acceleration is the derivative of the velocity function so we get a(t) =(8.3)(8.8)Cos(8.3t)

If t=0, then cos =1 so the acceleration is (8.3)(8.8) = 73.04 m/s^2 which is 73.0