Question

The path of basketball after it has been hit is modeled by the function h=-0.0032d² d³, where h is the height in feet of the basketball and d is the distance in feet the basketball is from home plate. What is the height of the basketball when it is 10 feet from home plate?

Answer 1

The height of the basketball when it is 10 feet from home plate is -320 feet.

Step-by-step explanation:

The height of the basketball when it is 10 feet from home plate can be found by substituting d = 10 into the given function h = -0.0032d² d³. Let's calculate:

h = -0.0032(10)² (10³)
= -0.0032(100) (1000)
= -0.0032 x 100,000
= -320 feet

Therefore, the height of the basketball when it is 10 feet from home plate is -320 feet.