Question

A bowling ball is dropped from a height of 40 feet.

a. Write a function that gives the height h (in feet) of the bowling ball after t seconds.

h(t)=

b. Find the height of the bowling ball after 1 second.

The height of the ball after 1 second is
feet.

c. How long does the bowling ball take to hit the ground? Round your answer to the nearest hundredth of a second.

The bowling ball takes about _ seconds to hit the ground.

Answer 1

Recognize that the word "dropped" suggests there is no initial velocity
so you equation must be
h(t) = -16t^2 + 40

b)
h(1) = .... , just sub in t = 1 into the h(t) equation

c) when it hits the ground, h=0
so
-16t^2 + 40 = 0
solve for t, using the positive result only