## Sarah kicked a ball in the air. The function f ff models the height of the ball (in meters) as a function of time (in seconds)

Question

Sarah kicked a ball in the air. The function
f
ff models the height of the ball (in meters) as a function of time (in seconds) after Sarah kicked it.

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1 week 2021-09-08T01:31:47+00:00 2 Answers 0

1. Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

(1)

Where models the height of the ball in meters and the time.

Now, let’s find the time when the ball Sara kicked hits the ground (this is when ):

(2)

Rearranging the equation:

(3)

Dividing both sides of the equation by :

(4)

This quadratic equation can be written in the form , and can be solved with the following formula:

(5)

Where:

Substituting the known values:

(6)

Solving we have the following result:

This means the ball hit the ground 5 seconds after it was kicked by Sara.

2. 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: