Morgan throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function h (t) = -16t+24t, where t represents the time, in seconds, since the ball was thrown. What is the appropriate domain for this situation?

Question

Mathematics

Tyson Shea

21 October, 14:29

Morgan throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function h (t) = -16t+24t, where t represents the time, in seconds, since the ball was thrown. What is the appropriate domain for this situation?

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Answers (1)

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Jan Stephenson · Answer 1

positive reals

Step-by-step explanation:

Time must always move forward, therefore it can never be negative. This rules out the set of all Integers and all reals.

Now, as the time can exist between numbers such as 1 second at a given height this means time can only a positive integer.

This leaves only the set of positive reals as a possible domain.