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)1. Use your calculator to determine v8 to three significant figures in two ways: a). Find v8 to four significant figures; then cube this number and round to three significant figures. b). Find V8 to three significant figures; then cube this number and round to three significant figures. c). Which answer is more accurate? Explain. (5 pts) 2. Two cars are moving in the same direction in parallel lanes along the highway. At some instant, the velocity of car A exceeds the velocity of car B. Does that mean that the acceleration of car A is greater than of car B at that instant? Explain. (5 pts) 3. A tennis player moves in a straight-line path as shown in the graph below. Find her average velocity in the time intervals from a) 0 to 1.0 s; b) 0 to 4.0 s; c) 1.0 to 5.0 s: and d) 0 to 5.0 s. (10pts) Position -5