Answer:
t = 4.5 seconds
Step-by-step explanation:
It is given that, a golfer hits a ball from a starting elevation of 4 feet with a velocity of 70 feet per second down to a green with an elevation of −5 feet.
The number of seconds t it takes the ball to hit the green can be represented by the equation as follows :
[tex]-16t^2 + 70t + 4 = -5\\\\-16t^2 + 70t + 9=0[/tex]......(1)
We need to find time taken by the ball to land on the green. Solving the quadratic equation (1) we get :
t = -0.125 s and t = 4.5 s
Ignoring t = -0.125 s, we get the time taken by the ball to land on the green is 4.5 seconds.
