Directions: Using the information provided, answer all parts, a-e. Provide a thorough explanation and show all your work.

A crane and box are both initially at rest. At time t=0 s, the crane begins to drive forward at a constant speed of 0.5 m/s, while also lifting the box with an upward acceleration of 1 m/s2. The box does not swing while being lifted by the crane.

part a) Draw the path the block would take as it moves with constant velocity in the horizontal direction, as it accelerates upwards.

part b) Draw the direction of the net force.

part c) Assume that, at t=0s, the horizontal position of the box is x=0 and it has a vertical position of y=0. Derive an equation that describes the vertical position y of the box as a function of the horizontal position, x, of the box.

part d) Does your equation from part c agree with your sketch in part b? Justify your response.

part e) Draw a free body diagram (FBD) for the block.