The height of a golf ball in the air can be modeled by the equation [tex] h=-16x^{2}+76t[/tex], where h is the height in the feet of the ball after t seconds. a. how long is the ball in the air?
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
Height of the golf ball is represented by the equation:
h = -16t^2 + 76t
h= height in feet.
Determine the time it would take for the ball to last in the air.
Solution:
To determine the time it would take for the golf to last in the air, we equate the given equation. After equating we factor out -4t out of the equation and solve for t.
0= -16t^2 + 76t
0= -4t (4t - 19)
4t - 19 = 0
4t = 19
t = 19/4
t = 4.75
Final answer:
t = 4.75 seconds