The height of the ball according to the function h(t) is 16 feet after 1.92 seconds and after 0.46 seconds.
A function is defined as a expression containing one or more variables.
Technically speaking, a function is a means of linking a set of inputs to a set of outputs.
The height of the ball at any time t is given by the function:
Now the required height of the ball(in feet) is 16 feet. We have to find the value of t for which h(t)=16.
Let us substitute the values:
This is in the form of a quadratic equation in t.
Solving by using the quadratic formula:
We know that for a quadratic equation
Therefore for the above quadratic equation:
Therefore the ball reaches the height of 16 feet at times 1.92 seconds and at 0.46 seconds.
To learn more about functions:
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