Question

K

A golf ball is hit with an initial velocity of 140 feet per second at an inclination of 45° to the horizontal In physics, it is established that the height h of the golf ball is given by the function
- 32x²
h(x)=-
140²
where x is the horizontal distance that the golf ball has traveled Complete parts (a) through (g)
(a) Determine the height of the golf ball after it has traveled 100 feet
h= feet (Round to two decimal places as needed)

Answer 1

6.25 seconds

Explanation:

Using the the equation

h = 100t − 16t^2

The ball hits the ground, when h = 0, solving below equation:

100t − 16t^2 = 0

4t(25 - 4t) = 0

t = 0 seconds, this is the starting point when ball was hit

25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the ground