Problem

The height of a model rocket, $H(t)$, is a function of the time since it was launched, $t$
What is the domain of $H(t)$ ?

Answer

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Answer

\(\boxed{[0, \infty)}\)

Steps

Step 1 :The height of a model rocket, $H(t)$, is a function of the time since it was launched, $t$. The domain of $H(t)$ is the set of all possible input values (in this case, time) for which the function is defined.

Step 2 :Since the height of the rocket is a function of time since it was launched, the domain should include all non-negative time values, starting from the time of launch (t=0) until the rocket reaches its maximum height or lands back on the ground.

Step 3 :\(\boxed{[0, \infty)}\)

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