Question

6. A rocket is loaded with liquid oxygen fuel propellant in preparation for lift-off on a journey to the Moon. The total fuel ( in pounds) is stored in two separate tanks, each with different total fuel capacities.

The total amount of fuel in both tanks is given by:

F(t) = [(t- 6)^(-2)][(3t +5)^(5/3)]

                Where: F(t) is the total amount of fuel (lbs) in both tanks after t seconds of flight

                                    t = the time in seconds;

                Assume: At t = 0, both fuel tanks are full.

1. Find the Instantaneous Rate of Fuel consumption function

(lbs/second) as the rocket makes its journey to the moon.

1. Find the rate of fuel consumption at t = 10 seconds into the flight.

Answer 1