A programmer is writing the code for a new interactive basketball game. As a result, she...

A programmer is writing the code for a new interactive basketball game. As a result, she is using quadratic relations to model the path of the ball. During the game, when a ball is shot, the path it follows is modelled by the quadratic relation, h= -0.2d^2 + 3d +6, where h represented the height of the ball above the ground and d represented the distance of the ball from the shooter. Both distances are measured in feet.

How high was the ball when the shooter shot it?
What was the maximum height obtained by the ball?
A rim of a basketball net is 10 feet high. For what distance was the ball above the rim of the basketball net?
How far would the shooter have to be away from the rim of the basketball net for the ball to hit the rim of the basketball net and possibly go in?
Create a graphical model, using technology, to verify your calculations.
Create your own quadratic relation that would model the path of a shot from a distance of 15 feet that would hit the rim of the basketball net. Explain how you obtained your answer.

Provide step-by-step solutions that are communicated clearly for all questions.

Expert Solution

In above graph x axis is distance d and y is height h.

from above graph it is clear that at d= 0 height is 6 ft. Also maximum height is 16.95 ft. And for

h=10 we have two values of d and difference between them gives the distance for which ball is above 10 feet.

a. 6 feet

b. 16.95 feet

c. 12.05 feet

d. 13.52 feet

f. h = - 0.0488d^2 + d + 6

Hope you get your answer. Thank you and please like the answer .

Colby Messinger answered 1 year ago

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