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A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:

f(t)=−16t2+94t+12

Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?


3 < t < 6

2 < t < 5

1 < t < 4

0 < t < 3

Verified Answer :

scme1702

When an object is thrown upwards, it reaches a maximum height and then comes back to its starting position. If we put f(t) = 0, we can get the time the ball was thrown and the time it returned.
Solving:
-16t² + 94t + 12 = 0
t = -0.125 and t = 6; negative time is not possible so the first solution is discarded.
The maximum height lies at the time exactly between the two times of zero displacement. Max height at
t = (-0.125 + 6)/2 = 2.9375 s ≈ 3
3 < t < 6
Therefore, the answer is the first option.

A reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground is A. 3 < t < 6.

How to depict the function?

It should be noted that an object comes to the starting position when thrown upwards. From the information given, the function is f(t)=−16t2+94t+12.

We'll then solve for the value of t. This will be t = -0.125 and 6. The maximum height will then be:

t = (-0.125 + 6)/2

t = 3

Therefore, a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground is 3 < t < 6.

Learn more about functions on:

brainly.com/question/25638609

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