Question

ahh, okay word problems+me=mess
Help me with my last homework question please!
Use the formula h = -16 t2 + 48t + 160 to determine when the ball's height is 192 feet. The formula describes the ball's height above the ground, h, in feet, t seconds after you throw the ball straight up from a rooftop 160 feet high.

Answer 1

use pythagoras theorem

Answer 2

really?

Answer 3

Im stuck on it but I will try again

Answer 4

I am trying to factor 192=16t^2+48t+160 correct?

Answer 5

first subtract 192 from both sides

Answer 6

to get
-16t^2+48t-32=0
now simplify by dividing both sides by -16 (all terms!)
to get
t^2-3t+2=0

(I just noticed you left the minus sign of the -16t^2 term)

Answer 7

you follow?

Answer 8

I did and I figured it out! thank you so much
t=1

Answer 9

yes
t^2-3t+2 factors into
(t-1)(t-2)= 0
t= 1 or t=2
t=1 is on the way up
t=2 is when the ball reaches 192 ft on the way down.

Answer 10

so you were on the right track with
I am trying to factor 192=16t^2+48t+160 correct?

except you should have -16t^2. to solve, make it a quadratic equal to 0 (by subtracting 192 from both sides), then simplify by dividing everything by -16. After that, factor it to get the answer.