Question

at a fourth of july celebration, a rocket is launched straight up with an initial velocity of 128 ft. The height of the rocket in feet above sea level is modeled by the expression 128t - 16t^2, where T is the time in seconds after the rocket is launched. (a) what is the gcf of each term of the expression? (b) write the factored form of the expression for the height of the rocket after T seconds. (c) well the height of the rocket be greater after four seconds or after six seconds?

Answer 1

Explanation:

Given

Height of the rocket is given by

`h=128t-16t^2`

`h=8* 16t-16t* t`

(a)Greatest common factor in each term is
`16t`

(b)

`h=8* 16t-16t* t`

`h=16t(8-t)`

(c)

After
`t=4\ s`

`h=16* 4(8-4)`

`h=256\ m`

after
`t=6\ s`

`h=16* 6(8-6)`

`h=192\ m`

Thus after
`4\ s` height of rocket is greater .