A baseball player hits a ball toward the outfield. The height h of the ball in feet is modeled by h(t) = -16t2 + 22t + 3, where t is the time in seconds. In addition, the function d(t) = 85t models the horizontal distance d traveled by the ball. If no one catches the ball, how long will it stay in the air?

Question

anonymous · Answer

put 0 in for the height to get how long its in the air

-16t^2+22t+3=0

now solve for t

anonymous · Answer

I'm getting a really weird fraction. somehow before, i got 3 as my answer. am i even close?

anonymous · Answer

so i got 0.09, and if i have to round, would it be 0.1?

anonymous · Answer

factors like

(2t-3)(8t+1)

8t+1=0
8t=-1
t=-1/8

throw that one away because its negative

2t-3=0
2t=3
t=3/2

or 1.5 seconds

anonymous · Answer

ohhh okay! i get it now. thank you so much!