Solve the given question:
Question: The captain of a spaceship spots an asteroid moving towards her ship as shown below. She immediately engages the rear thrusters giving the ship an acceleration of 20.0 m/s2, in a direction opposite to the ships velocity. Unfortunately, a collision happens.
Part I: Find the location of the collision and the velocity of the spaceship at the time of collision. Assume that the asteroid travels with constant velocity.
Please show all work and clearly explain each step.