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.

1. 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. 2. Sketch a position-time and velocity-time graph for the resulting motion of the wagon

3. What is the velocity of the wagon after it moves 5 cm? Explain your work.

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