The path of a basketball foul shot is modelled by the relation h=-0.44d*2+4.4d+7, where h is the height in feet and d is the horizontal distance in feet. At what height is the ball released? What was the maximum height the ball reached? The centre of the basket is 14 feet away at a height of 10 feet. Assuming that the shot was straight, could the ball pass through the hoop?

Question

The path of a basketball foul shot is modelled by the relation h=-0.44d*2+4.4d+7, where h is the height in feet and d is the horizontal distance in feet. At what height is the ball released?  What was the maximum height the ball reached? The centre of the basket is 14 feet away at a height of 10 feet.  Assuming that the shot was straight, could the ball pass through the hoop?

Steve · Answer

what is h when d=0?

As you know the vertex of a parabola is where d = -b/2a = -4.4/-.88
So, figure h for that value of d.

What is h when d=14? Or, how far away is the ball when h=0 (it hits the floor)?