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

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Mathematics

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26 January, 00:42

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

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Brayan · Answer 1

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

Step-by-step 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.