Question

A bird is flying on the path: h = 330 - 24t. Harry hits a golf ball with a path: h= -4.9t² + 93t + 0.5. Does Harry hit the bird with the ball? If yes, what time does it hit the bird (round to the nearest tenth).

Answer 1

Harry hits the bird with the ball at approximately 0.6 seconds.

Step-by-step explanation:

Given the equations for the bird's path and the golf ball's path, we need to find if there is a time at which the heights of the bird and the ball are the same.

We can set the two equations equal to each other: 330 - 24t = -4.9t² + 93t + 0.5.

This is a quadratic equation, and we can solve it using the quadratic formula. By solving this equation, we find two possible values of t: t = 0.6 s and t = 6.6 s.

Since the bird is flying for a longer time, we take the smaller value of t, which is t = 0.6 s.

Therefore, Harry hits the bird with the ball at approximately 0.6 seconds.