What path might a basketball travel if you shot from the foulline to a 10 foot hoop?
Steve races down the basketball court, then stops and shoots --HE SCORES!!! The ball travels through the air and through thebasket (10 feet off the ground) according to the function
h = -16t2+ 19.5t + 6.5, where h represents the height of thebasketball above the floor, and t represents the number of secondsthat the ball was in the air. How long did it take for the ball topass through the basket?
The next time down the court, Steve took another shot, shootingthe ball according to the same function as in part a, but since hewas a few feet farther from the basket, the shot was an Air Ball(missing everything completely). How long was the ball in the airbefore it hit the floor?
Returning to the first part, was there a time, besides when theball passed through the basket, when it was 10 feet off the floor?Show the results in a graph and a table, and provide at least 1analytic (algebraic) explanation.
