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Mechanics: Work done and conservation of energy

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(See attached files for full problem description with units and diagrams

The figure is the velocity-versus-time graph for a 3.90 object moving along the x-axis. Determine the work done on the object during each of the five intervals AB, BC, CD, DE, and EF.
Part A
Use work and energy to find the speed of the 2.0 kg block just before it hits the floor if the table is frictionless.
Part B
Use work and energy to find the speed of the 2.0 kg block just before it hits the floor if the coefficient of kinetic friction of the 3.0 kg block is 0.15.
The spring shown in the figure is compressed 50 cm and used to launch a 100 kg physics student. The track is frictionless until it starts up the incline. The student's coefficient of kinetic friction on the incline is 0.15.

Part A
What is the student's speed just after losing contact with the spring?
Part B
How far up the incline does the student go?

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3 problems related to work done and conservation of energy are solved.

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