Question

A model rocket is launched with an initial upward velocity of 105 ft/s . The rocket's height h (in feet) after t seconds is given by the following.

h=105t-16t^2
Find all values of t for which the rocket's height is 34 feet.

Answer 1

do i set the equation to zero?

Answer 2

since w eknow h = 34 we do

34 = 105t-16t^2

Answer 3

\[0=-16t ^{2}+105t-34\]

Answer 4

and then factor?

Answer 5

or synthetic division

Answer 6

We are solving for t.... You can do it any way you want...

Answer 7

working..

Answer 8

Thogh I'm not sure that is the best method for it....

Answer 9

yea its pretty hard to factor

Answer 10

I would isolate T myself.

Answer 11

\[34+16t ^{2}=105t\]?

Answer 12

t^2 is still t...

Answer 13

Acvtually, I think you should just do it as a quadratic, you were correct in the first method, sorry.... I thought oyu might be able to do it toherwise, but don't think so...

Answer 14

ok working..