PROBLEM #7: AVR VOX 60 X=0 x = d Your toy rocket is launched from the ground at initial position x = d, y = 0, and as it moves directly upwards it maintains a CONSTANT VELOCITY VR (you may ignore the very short acceleration time and assume the rocket always has speed v.). Tompkins wants to shoot down your rocket. His toy cannon is aimed at an angle of 60, and he fires a projectile with speed vo at time t = 0, the same time your rocket starts moving. (a) What is the total external force on the rocket as it moves upwards? Explain. (b) Write the acceleration, velocity, and position of the rocket as functions of time. (c) Write the acceleration, velocity, and position of Tompkins' projectile as functions of time. (d) Find the speed vo required for Tompkins to successfully hit your rocket