Question

A ball is launched from a 114.24-foot tall platform. The equation for

the ball's height hat time t seconds after launch is h (t)=-16f² +
59.2t+114.24, where his in feet. What is the maximum height the
ball achieves before landing?

Answer 1

To find the maximum height the ball achieves before landing, we need to find the vertex of the parabola represented by the equation h(t) = -16t^2 + 59.2t + 114.24. The vertex form of a parabola's equation is y = a(x-h)² + k where (h, k) is the coordinates of the vertex.

We can get the vertex form by completing the square of x term.

h(t) = -16t² + 59.2t + 114.24

h(t) = -16(t² - 3.68t) + 114.24 + 3.68t

h(t) = -16(t-0.92)² + 118.92

The maximum height is 118.92 ft which is k.

Uday Tahlan