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Category > Math Posted 01 Jul 2017 My Price 10.00

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Question description

 

See the instruction in the attachment below

.

MATH 0312                                             Nothing But Net                                     Project

You are trying to sink a basketball during a game.  You are 20 feet from the basket (horizontal distance), and the basket is 10 feet high (standard NBA height).  There is a defender halfway between you and the basket.  Calculate the equation of the parabola you should throw at the get the basket (nothing but net; no backboard).

 

                   
     
     
 
 
 
 
 
   

 

 

 

 

 

 

 

 

Here’s what you do:

In pairs (the taller person should be the defender and the shorter should be the thrower), measure each of your heights with arms extended up.  It would be easier to convert all units, including the distance and height of the basket into inches.

The thrower will be standing on the y-axis, so the point (0, “thrower’s height”) should be on the parabola.  Also, the basket should be on the parabola as well. (What coordinate point will represent this location?)  The defender’s height (with arms extended) should be in the bend of the parabola (to make sure he doesn’t block you, double his height for this point).  What coordinate point would represent this location?

Use these three points to find your a, b, and c value in the standard parabola formula (y = ax2 + bx + c). Find the unknown values.  This is your parabola equation.

From this equation, determine the coordinates of the maximum height of the basketball. Use this information to rewrite the equation in vertex-form.

Write a few sentences about where you should aim the basketball while shooting.  Should you maximum height of the ball be in front of, directly above, or behind the defender?

What you will be handing in:

The heights of your two people: thrower (ht) and the defender (hd).

Your sketch of the parabola with labelled coordinate points.

Your system of equations, and how you solve it.

Your actual equation of your parabola.

Your maximum height coordinates.

 

Answers

CourseLover
(12)
Status NEW Posted 01 Jul 2017 03:07 PM My Price 10.00

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