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).

1 sentence

Answer 1

The function (f + g)(t) represents the combined height of the rocket above the platform at time t, where f(t) is the rocket's height above the ground and g(t) is the constant height of the platform above the ground; the domain of (f + g)(t) includes all time values t during the rocket's ascent and descent, typically from t = 0 (launch) to the time when the rocket returns to the ground.