Question

A bird releases waste from a height of

400 feet. If the equation for height as a
function of time is
h(t) = - 16t^2 + initial height where t is
time in seconds and h(t) is height in
feet, how many seconds will it take for
the waste to hit the ground?

Answer 1

5secs

Explanation:

Given the equation of the height expressed ad;

h(t) = - 16t^2 + initial height

Given that initial height = 400feet

h(t) = - 16t^2 + 400

The waste will hit the ground at when h(t) = 0

substitute

0 = - 16t^2 + 400

16t^2 = 400

t² = 400/16

t² = 25

t = √25

t = 5secs

Hence it will take the easte 5secs to hit the ground