Question

A golfer accidentally hits a ball toward a water hazard that is downhill from her current position on the fairway. The hill can be modeled by a line through the origin with slope - 1/8 . The path of the ball can be modeled by the function y=- 1/100 x²+ 3/2 x Answer parts a through c below. a. If the golfer stands at the origin and the nearest edge of the water hazard is 180 yards away, will the golfer's ball bounce or

Answer 1

The golfer's ball will roll and not bounce into the water hazard.

Step-by-step explanation:

To determine whether the golfer's ball will bounce or roll into the water hazard, we need to find the x-coordinate where the ball lands using the given trajectory equation.

Setting y equal to zero in the equation y = -1/100x^2 + 3/2x, we get:

0 = -1/100x^2 + 3/2x

Simplifying this equation gives us:

x = 0 or x = 150

Since the nearest edge of the water hazard is 180 yards away, which corresponds to an x-coordinate of 180, we can see that the ball will not reach the water hazard. Therefore, the ball will roll and not bounce into the water hazard.