A weight attached to a spring is pulled down so that it is 10 cm from the floor and is released so that it bounces up and down. When the effects of friction and gravity are ignored. It's height can be modeled by a sine function of the time since it started bouncing. The weight reaches its first maximum height of 50 cm at 1.5 s.
a. Write an equation for the height, in cm,of the weight as a function of time, in seconds.
b. graph the equation from part a.
c. When is the weight moving up fastest?
d. When is it moving down faster?
e. at what time is the weight changing direction.
2 answers