A skyrocket firework burns fuel as it climbs. Its mass, m(h) kg, at height h m is given by (a) What is the mass of the rocket at h = 0 just before it is launched? (b) Show that the mass decreases as the rocket climbs. (c) Whatwork would be required to lift the rocket 10 m if its mass did not decrease? (d) Approximate the work done as the rocket goes from height h to h + Δh. (e) The rocket explodes at h = 250 m. Find total work done by the rocket from launch to explosion.