Question

Help please!! :)





a weight hanging from a spring bobs up and down with position function s=f(t) (s in meters,
t in seconds). What are its velocity and acceleration at time t?
Describe its motion.

a) s= 5 sin t

Answer 1

The velocity function is the derivative of the position function and the acceleration function is the derivative of the velocity function.

Answer 2

Do you know how to take the derivative of the function?

Answer 3

wait actually no... haha

Answer 4

Velocity = ds/dt = 5cos(t)

Answer 5

Acceleration = dv/dt = -5sin(t)

Answer 6

The motion is periodic.

Answer 7

Ohh! Thanks!