Question

H=7+44t-16^2

Find all values of t for which the ball’s height is 27 feet

PLEASE HELP ME :(

Answer 1

`t_1\approx2.18`

`t_2\approx0.57`

Explanation:

`h=7+44t-16t^2`

`27=7+44t-16t^2`

`0=-20+44t-16t^2`

`0=-16t^2+44t-20`

`t=(-b\pm√(b^2-4ac))/(2a)`

`t=(-44\pm√(44^2-4(-16)(-20)))/(2(-16))`

`t=(-44\pm√(1936-1280))/(-32)`

`t=(-44\pm√(656))/(-32)`

`t=(-44\pm4√(41))/(-32)`

`t=(11)/(8)\pm(√(41))/(8)`

`t_1\approx2.18`

`t_2\approx0.57`