Suppose a frog, a flea and a basketball player jump straight up. Their heights in feet after t seconds are modeled by these equations:

Frog: h(t) = -16t^2 +12t + 0.2

Flea: h(t) = -16t^2 + 8

Basketball player: h(t) = - 16t^2 + 16 + 6.5

a. Create a table with columns for each jumper and graph the three equations on the same set of axis.

b. What is the maximum height reached by each jumper? When is the maximum height reached?

c. How long does each jump last?

d. Explain in your own words what the constant parts of the equations mean in the context of this situation.

e. For each jumper, describe the pattern of change in the height over time. Explain how the pattern is reflected in the table and the graph.