A spacecraft is designed so that it can accelerate in both the x and y directions with one rocket pointing toward the -x direction (left) and one rocket pointing toward the + y direction. The rocket is launched in outer space with an initial velocity of 100 m/s in the +x direction (right). At t=0 seconds it fires both its engines for 5 s. While the engines fire the engine pointing in the -x direction provides an acceleration of -4 and the engine firing in the y direction provides an acceleration of +3 m 1. Make a sketch of the flight path of the rocket and fill in the knowns below. Take the starting position to occur at the location where t=0. X direction ax = Y direction Sketch of spacecraft motion Vox = xo = Om ay = = Voy yo = = Om 2. What will be the spacecraft's instantaneous velocity in the x direction at t= 5 seconds? Answer 3. What will be the spacecraft's instantaneous velocity in the y direction at t= 5 seconds? Answer 4. What will be the spacecrafts total displacement from t=0 to t=5 seconds (hint: use Pythagorean theorem)