30. Frog Jump A frog jumps from the ground into the air with an initial vertical
velocity of 8 feet per second.
a. Write an equation that gives the frog's height (in feet) as a function of the time
(in seconds) since it left the ground,
b. After how many seconds is the frog 12 inches above the ground?
c. Does the frog go any higher than 12 inches? Explain your reasoning using your
answer from part (b).
d. Suppose the frog now jumps from 4 feet above the ground with the same initial
vertical velocity. Write an equation that gives the frog's height (in feet) as a
function of the time in seconds) since it left the ground.
e. Should the frog reach the ground in the same time in both jumps? Explain why
or why not.