Question

A rocket is shot 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). Keep it around 1 to 2 sentences.

Answer 1

(f+g)(t) gives the rocket's total height above ground if g(t)=h0 is the fixed height of the launch platform and f(t) is the rocket’s height measured above that platform. Its domain is the intersection of the domains of f and g — in practice the times t for which the rocket’s height f(t) is defined (e.g., t ≥ 0 up to landing).