A wheel with a radius of 3 cm is being pushed up a ramp at a rate of 7 cm per second. The ramp is 640 cm long, and 200 cm tall at the end. A point P is marked on the wheel. Point p is on top of a circle at the bottom of a right triangle aka ramp
a. Traveling at 7 cm/sec, how long does it take the wheel to complete one rotation?
b. What is the initial height of the center of the wheel?
c. Traveling at 7 cm/sec, in one second, how much does the height of the center of the wheel increase?
d. Write an equation for the height of the center of the wheel as a function of t, time in seconds.
e. Write an equation for the height of the point P above the ground as a function of t, time in seconds.