A rocket with total mass 3.00 3 105 kg leaves a launch pad at Cape Kennedy, moving vertically with an acceleration of 36.0 m/s2. If the speed of the exhausted gases is 4.50 3 103 m/s, at what rate is the rocket initially burning fuel? (a) 3.05 3 103 kg/s
(b) 2.40 3 103 kg/s
(c) 7.50 3 102 kg/s
(d) 1.50 3 103 kg/s
(e) None of these

(b) 2.40 x kg/s

Explanation:

Given that: Total mass of the rocket = 3.003 x kg

acceleration of the rocket = 36.0 m

speed of the exhausted gases = 4.503 x m/s

Rate at which rocket was initially burning fuel =

But,

time =

       =

       = 125.0833 s

So that;

Rate at which rocket was initially burning fuel =

        = 2400.8001

        = 2.40 x kg/s

Therefore, the initial rate at which the rocket burn fuel is 2.40 x kg/s.