Question

A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96 feet per second. Write an equation that models the path of the ball.

Answer 1

The equation that models the path of the ball can be obtained by considering the motion in the vertical direction.

Step-by-step explanation:

The equation that models the path of the ball can be obtained by considering the motion in the vertical direction. The vertical motion of the ball can be described by the equation:

h(t) = -16t^2 + v0t + h0

where h(t) represents the height of the ball at time t, v0 is the initial velocity, -16 is the acceleration due to gravity, and h0 is the initial height.

Given an initial height of 200 feet and an initial velocity of 96 feet per second, the equation becomes:

h(t) = -16t^2 + 96t + 200