A 1,500. kg rocket is 10.0 Earth radii away from the center of the Earth, faces up, and travels directly away from the Earth at 7.5 m/s. It fires an engine that pushes the rocket sideways with a force of 50.4 N (You may wish to use some or all of these values: Me = 5.97 x 1024 kg, re = 6.37 x 106 m, G = 6.667 x 10-11 N.m?/kg', g at the Earth's surface = 9.81 N/kg, speed of light = 2.998 x 10® m/s.) Draw three diagrams: a. one showing the rocket and the Earth, b. one a Free Body Diagram for the rocket, and c. one a vector addition diagram for the forces acting on the rocket. Calculate the magnitude and direction of the rocket's acceleration.