Question is in description

Question

A cat jumps straight up from the ground with an initial vertical velocity of 10 feet per second.

a) Write an equation that gives the height of the cat (in feet) as a function of the time (in seconds) since it left the ground.

b) Find the zeros of the function from part a. Explain what the zeros mean in this situation.

Answer 1

(a)

h(t) = -16t² + 10t

(b)

h(t) = 0

h(t) = t(-16t + 10) = 0

t = 0 or 5/8 sec

t = 0 refers to the instant the cat jumps up from the ground, where h=0

t = 5/8 sec is the time it takes the cat to reach the ground again on the way down