Question

a golfer hits the golf ball. the quadratic y = -14x^2+84x gives the time x seconds when the golf ball is at height 0 feet. In total, how long is the golf ball in the air?​

Answer 1

Answer: 6 seconds

Explanation:

x refers to time. Since we want to know how long it is in the air, we need to find the time (x) when the ball lands on the ground (y = 0)

0 = -14x² + 84x

0 = -14x(x - 6)

0 = -14x 0 = x - 6

0 = x 6 = x

x = 0 seconds is when the ball was hit

x = 6 seconds is when the ball landed on the ground