A typical loaded commercial jet airplane has an inertia of \(2.1 \times 10^{5} \mathrm{~kg}\).

(a) Based on the time intervals involved, which do you expect to require more energy: getting the plane up to cruising speed or getting it up to cruising altitude?

(b) How much energy does it take to get the plane to a cruising speed of \(270 \mathrm{~m} / \mathrm{s}\) ? (Ignore wind drag.)

(c) How much energy does it take to get the plane to a cruising altitude of \(10,400 \mathrm{~m}\) if it travels to that altitude at its (constant) cruising speed?