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.

Solutions

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

Next > < Previous

Related Solutions

in a basketball game a referee throws the basketball upwards from an initial height of 2.00...

in a basketball game a referee throws the basketball upwards from an initial height of 2.00 meters above the floor, with sufficient initial speed such that its highest point will be 4.20 meters above the floor. a basketball players outstretched hand is 2.50 meters above the floor when he holds his hand above his head, and he can jump with an initial speed of 3.90m/s upwards. how long after the ball is released from the referees hand should the player...

A new casino game involves rolling a die. The winnings are directly proportional to the result...

A new casino game involves rolling a die. The winnings are directly proportional to the result of the number rolled. Suppose a gambler plays the game 108 times, with the following observed counts: Observed Number, Observed Frequencies 1 6 2 12 3 24 4 27 5 9 6 30 The casino becomes suspicious of the gambler and wishes to determine whether the die is fair. What would you conclude at = 0:05? Is the test you adopt an exact test...

Game theory is the science of rational behavior in interactive situations. True False

Lily likes to play games with integers. She has created a new game where she determines...

Lily likes to play games with integers. She has created a new game where she determines the difference between a number and its reverse. For instance, given the number 12, its reverse is 21. Their difference is 9. The number 120 reversed is 21, and their difference is 99. She decides to apply her game to decision making. She will look at a numbered range of days and will only go to a movie on a beautiful day. Given a...

A random spectator is to be selected from the audience of a basketball game and given...

A random spectator is to be selected from the audience of a basketball game and given the chance to shoot 10 free throws. Let Y be the number of free throws made by the selected spectator and let P be the probability with which the selected spectator makes a free throw on any attempt. Assume that P and Y follow the hierarchical model Y |P ∼ Binomial(10, P) P ∼ Beta(2, 2) . (a) Run a Monte Carlo simulation to...

In a game of basketball, a forward makes a bounce pass to the center. The ball...

In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 4.3 m/s at an angle of 15 ∘ below the horizontal. It is released 0.70 m above the floor. Part A What horizontal distance does the ball cover before bouncing?

The game of basketball was introduced to the women of Smith College in 1892. Since then...

The game of basketball was introduced to the women of Smith College in 1892. Since then the game has undergone numerous changes, expanding horizons for female athletes. Although there has been great progress for women in basketball, the game is not yet secure in its position in the United States. The Women’s National Basketball Association (WNBA) is the most successful women’s league in the United States; however, the WNBA has lost money every year since its founding in the 1990s....

In Laura’s new role at Walden-Martin Family Medical Clinic, she will be writing checks to take...

In Laura’s new role at Walden-Martin Family Medical Clinic, she will be writing checks to take care of the accounts payable for the clinic. A practicum student has just started at the clinic and will be working with Laura for the next several days. How should Laura describe this aspect of her job?

In python make a simple code. You are writing a code for a program that converts...

In python make a simple code. You are writing a code for a program that converts Celsius and Fahrenheit degrees together. The program should first ask the user in which unit they are entering the temperature degree (c or C for Celcius, and f or F for Fahrenheit). Then it should ask for the temperature and call the proper function to do the conversion and display the result in another unit. It should display the result with a proper message....

It is thought that basketball teams that make too many fouls in a game tend to...

It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. x 0 2 5 6 y 48 41 33 26 Complete parts (a) through (e), given Σx = 13, Σy =...

Subjects