Question

The drop that rider's experience on Dr. Doom's Free Fall can be modeled by the quadratic function LaTeX: h\left(t\right)=-9.8t^2-5t+39h ( t ) = − 9.8 t 2 − 5 t + 39 where h is height in meters and t in time in seconds. What is the starting height of the riders?

Answer 1

The starting height of the raiders is 39 meters.

Explanation:

Physically speaking, a free fall motion is an uniformly accelerated motion due to gravity. Mathematically, speaking the equation of motion for the height of an object under free fall is a second order polynomial (quadratic function).

Let
be the height of the riders, in meters, the starting height is the height evaluated at
Hence, we proceed to the determined the required data by direct evaluation:

The starting height of the raiders is 39 meters above the ground.