Suppose two children push horizontally, but in exactly opposite directions, on a wagon in which a third child sits. The wagon is initially at rest. The first child exerts a force of 75.0 N to the left, the second exerts a force of 90.0 N, friction acts opposite the direction of the motion and has a magnitude of 12.0 N, and the weight of the third child plus wagon is 230 N downward. Assume the wagon accelerates horizontally in the direction the second child pushes. a. Make a complete force diagram for this situation. (Hint: make sure the net force agrees with the direction of the acceleration) b. What is the system of interest (e.g. what bodies make up the system?) if the acceleration of the third child in the wagon is to be calculated? Explain your decision. c. If the mass of the third child is 18 kg and the wagon is 5 kg, what is the resulting acceleration of the child? Explain your work. d. Sketch a position-time and velocity-time graph for the resulting motion of the wagon. e. What is the velocity of the wagon after it moves 5 cm? Explain your work.