Question

A rocket is shot straight up into the air. If f(t)
represents the height in feet of the rocket at time, t
, seconds and g(t)
is a constant function that represents the height of a platform, what situation can be described by (f+g)(t)
? Include a description of the domain of (f+g)(t). In 1 sentence and 60 or more words

Answer 1

The function \((f+g)(t)\) represents the combined height of the rocket and the platform at any given time \(t\), where \(f(t)\) is the height of the rocket as it ascends and \(g(t)\) is the constant height of the platform above the ground. The domain of \((f+g)(t)\) would typically start from \(t = 0\) (the moment the rocket is launched) and may extend to the time when the rocket reaches its maximum height or falls back to ground level, depending on the specific scenario and duration of the rocket's flight. Hence, the effective domain will be \(0 \leq t \leq T\), where \(T\) is the time when the rocket impacts the ground or stops being relevant for measurements.