1. A signal buoy in the Chesapeake Bay bobs up and down the the height,h, of its transmitter (in feet) above sea level. The height of the transmitter varies periodically from a minimum of 1 foot to a maximum of 9 feet above sea level. Assume that the transmitter is at a minimum height 2.5 seconds after you started observing its motion and that it takes 2 seconds for the transmitter to go from a minimum height to a maximum height.
a. Whst is the period of the transmitter motion?
b. Assume that the height, h, of the transmitter varies sinusoidally with time. Sketch a graph of one cycle. Label both axis, midline and all critical points on the graph.
c. Write an equation expressing the height, h, of the transmitter in terms of the time it takes to complete one full cycle.
d. What was the height of the transmitter 5.3 seconds after you started observing its motion?
e. From the time you started observing, when was the first time that the transmitter was 6.4 feet above the surface of the water?