Your friend is helping to raise money for a local charity by participating in a cartwheel-a-thon. Your friend is 78 inches tall with your friend’s arms raised in the air. Your friend is able to complete a cartwheel in 15 seconds. The charity sponsor supplies a wristband to each participant to assist in counting the number of cartwheels completed. The wristband is 2 inches from the end of your friend’s arm. Write a model for the height h (in inches) of the wristband as a function of the time (in minutes) given that the wristband is at the highest point (maximum) when t=0.