The height h in feet of a golf ball above the ground after being hit into the air is given by the equation, h = -16t^2 + 64t, where t is the number of seconds elapsed since the ball was hit. How many seconds does it take for the golf ball to hit the ground?
It would be 4 seconds. We want to find out how many seconds it will take until the ball hits the ground, making our h = 0. Adding −16t2to both sides, we get 16t2=64t. Dividing both sides by 16t we get, t=4.