The function that models the height of the ball (in meters) as a function of time (in seconds) after Sarah kicked it is h(t) = vt - ¹/₂gt².
Equation of the motion of the ball
The equation of the motion of the ball is calculated from the second kinematic equation as shown below.
h(t) = vt - ¹/₂gt²
where;
- h is the maximum height reached by the ball
- v is the initial vertical velocity of the ball
- g is acceleration due to gravity
- t is time of motion of the ball
Thus, the function that models the height of the ball (in meters) as a function of time (in seconds) after Sarah kicked it is h(t) = vt - ¹/₂gt².
Learn more about equation of motion here: https://brainly.com/question/25951773
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