Question

You’re trying to dunk a basketball do you need to jump 2.5 feet in the air to dunk the ball the height that your feet are above the ground is given by the function h(t)=-16t^+12t

Answer 1

Answer: The jump never reaches the 2.5 feet above the ground.

Explanation:

The equation for your height is h(t)=-16t^2+12t, lets find the time such

h(t) = 2.5 = -16t^2+12t

So we need to solve a quadratic equation now,

-16t^2+12t - 2.5 = 0

Before solving this, let's see the determinant to see if it has real solutions

D = 12^2 - 4*(-16)*(-2.5) = -16

So the determinant is a negative number, this means that we do not have real solutions, so there is not any moment in wich the jump reaches the 2.5 feet above the ground.