4. Vector A has a magnitude of 8.00 units and makes an angle of 45.0 degrees with the positive x- axis. Vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. Using graphical methods, find a). the vector sum A + B and b) the vector difference A - B. (10 pts) 5. An object moves with constant acceleration 4.00 m/s and over a time interval reaches a final velocity of 12.0 m/s. a) If its original velocity is 6.00 m/s, what is its displacement during the time interval? b) What is the distance it travels during this interval? c) If its original velocity is - 6.00 m/s, what is the displacement during this interval? d) What is the total distance it travels during the interval in c)? (15 pts) 6. A rocket is launched at an angle of 53.0 degrees above the horizontal with an initial speed of 100 m/s. The rocket moves for 3 sec along its initial line of motion with an acceleration of 30.0 m/s. At this time, its engine fail and the rocket proceeds to move as a projectile. Find a) The maximum altitude reached by the rocket, b) its total time of flight, and c) horizontal range. (15 pts)