the height of the arrow shot into the air can be represented by the equation h = -16t^2 + 112t + 5 what is the maximum height of the arrow?

Question

use the quadratic formula

Answer 1

Using the quadratic equation to solve for t

t = (-112 ±√(112²-4(-16)5))/-32 = 7.044, -.044

For a parabola, the t value for the vertex is halfway between the points.

(7.044+(-0.044))/2 = 3.5

h(3.5) = 201

The maximum height is 201 ft.

Answer 2

When graphed, the vertex of this parabola is (3.5, 201) where 201 represents the maximum height.

Therefore, the solution is 201