A 1800 kg trick airplane is 450 m in the air. At this point the plane takes a dive with an initial speed of42 m/s and accelerates to 64 m/s, dropping a total distance of 120 m. (a) Calculate the potential energy of the plane at the beginning and the end of the dive. (b) What is the kinetic energy of the plane at the beginning and at the end of the dive? (c) What is the total work done on the plane during its dive?