Question

A mass attached to a vertical spring has position function given by s(t)=4sin(3t) where t is measured in seconds and s in inches.

Find the velocity at time t=3.

Velocity = inches per second

Find the acceleration at time t=3.

Acceleration = inches per second per second

Answer 1

derivative

Answer 2

12 cos(3 t)

Answer 3

first derivative of a position function gives the velocity function
2nd derivative of a position function gives the acceleration function

Answer 4

ah ok tyvm