SOLUTION: You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t2 + 12

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t2 + 12      Log On


   

Question 1171298: You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t2 + 12t. Will you be able to dunk the basketball?
You must solve by using the quadratic formula and upload work for credit.
Yes
No
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

You are trying to dunk a basketball.
You need to jump 2.5 ft. in the air to dunk the ball. The height that your feet are above the ground is given by the function
given:
h%28t%29+=+-16t2+%2B+12t+
h%28t%29+=2.5
2.5=+-16t%5E2+%2B+12t+
16t%5E2+-+12t+%2B2.5=0
t=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a where a=16,b=-12, and c=2.5
t=%28-%28-12%29%2B-sqrt%28%28-12%29%5E2-4%2A16%2A2.5%29%29%2F%282%2A16%29
t=%2812%2B-sqrt%28144-160%29%29%2F32
t=%2812%2B-sqrt%28-16%29%29%2F32
t=%2812%2B-4sqrt%28-1%29%29%2F32
t=%283%2B-i%29%2F8-> complex number
since there is no real solution, you will not be able to dunk the basketball