The function f models the height of the ball as a function of time after Sarah kicked it. The quadratic formula can be used to find the time it takes for the ball to reach the spectator.
The function f models the height of the ball (in meters) as a function of time (in seconds) after Sarah kicked it. The height of the ball can be found using the equation 4.22. Since the ball is at a height of 10 m at two times during its trajectory, we take the longer solution for the time it takes the ball to reach the spectator. Use of the quadratic formula yields two solutions for time, but we choose the longer solution because it corresponds to the time it takes for the ball to reach the spectator.
Answer: Sarah kicked the ball from a height of about 1\text{ m}1 m1, start text, space, m, end text.
At its highest point, the ball was about 14\text{ m}14 m14, start text, space, m, end text above the ground.
Step-by-step explanation:
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