Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.07t2 + 0.007t + 5. How many seconds will it take for the frisbee to hit the ground?

Respuesta :

Solving the quadratic equation, it is found that it will take 8.5 seconds for the frisbee to hit the ground.

What is the equation for the frisbee's height?

It is given by:

h(t) = -0.07t² + 0.007 + 5.

Which is a quadratic function with coefficients a = -0.07, b = 0.007, c = 5.

It hits the ground when h(t) = 0. Hence, the solution is found as follows.

[tex]\Delta = (0.007)^2 - 4(-0.07)(5) = 1.400049[/tex]

[tex]x_1 = \frac{-0.007 + \sqrt{1.400049}}{2(-0.07)} = -8.4[/tex]

[tex]x_2 = \frac{-0.007 - \sqrt{1.400049}}{2(=0.07)} = 8.5[/tex]

It will take 8.5 seconds for the frisbee to hit the ground.

More can be learned about quadratic equations at https://brainly.com/question/24737967