In real life, polynomial functions are used to design roller coaster rides.

1) Cayley and Isaac enjoy roller coasters. Whenever a new roller coaster opens near their town, they try to be among the first to ride. One Saturday, the two friends decide to ride a new coaster. While waiting in line, Cayley notices that part of this coaster resembles the graph of a polynomial function that they have been studying in their math class. The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the coaster can be determined by h(t) = 0.3t³- 5t²+ 21t,where t is the time in seconds and h is the height in feet. When does this roller coaster reach its maximum height during this time period and what is the height?

2 a) The next weekend, Cayley and Isaac visit another roller coaster. Isaac snaps a picture of part of the coaster from the park entrance. Refer to the givendiagram