Answer :
Yes, the height of a rocket is a function of time.
This is because as the rocket lifts off, the height above the ground is in relation to how much time it takes to get there. Therefore, this is a function.
You can also think of it this way. A set of coordinate pairs is a function if all values in the domain, or the input, have exactly one value in the range, or the output. When the rocket is taking off, the amount of time it has taken to go up is the domain, and it will always relate to exactly one value of the range, which is how high the rocket has traveled up.
Hope this helps! :)
This is because as the rocket lifts off, the height above the ground is in relation to how much time it takes to get there. Therefore, this is a function.
You can also think of it this way. A set of coordinate pairs is a function if all values in the domain, or the input, have exactly one value in the range, or the output. When the rocket is taking off, the amount of time it has taken to go up is the domain, and it will always relate to exactly one value of the range, which is how high the rocket has traveled up.
Hope this helps! :)
Why not? If you think about it, you will yourself know that as the time from the launch time increases, the rocket rises more and more upwards. (Assuming that rocket was going up and not sitting idle).
Thus, yes. if rocket was not sitting idle and not walking horizontal, then the height of that rocket is a function of time.
What is a function?
A function is a relation between two sets of values where one set is called domain (input set) and maps to range(output set) uniquely.
Assuming rocket was in motion and not in horizontal motion:
As the time increases, the rocket moves. So you can think of it as if we're specifying time(input) and the height of rocket changes as the time changes(height here denotes output of function). So we can relate height of rocket with time.
Since at one time, the rocket cannot be at two different height, thus this relation between height of rocket and the time is a function.
Thus, yes. if rocket was not sitting idle and not walking horizontal, then the height of that rocket is a function of time.
Learn more about relations and functions here:
https://brainly.com/question/2253924