Question

A ball is dropped from the top of a building that is 250 feet tall. The

height h of the ball in feet after t seconds is modeled by the function h =
- 16t2 + 250. How long will it take for the ball to reach a height of 75
feet? Round to the nearest tenth.

Answer 1

hi

-16t²+250 = 75

-16t² = 75 -250

-16t² = -175

t² = -175 /-16

t² = 175/16

Here there si two solutions : t =
`√(175/16)` and t = -
`√(175/16)`

However, as time cannot rewind, we will keep only positive solution

So t =
`√(175/16)`

in seconds it will be : 3.3 seconds