3. Motion with Constant Acceleration The following is an equation of the velocity as a function of time for motion of a body with constant acceleration: v(t) = -4m + 2mt. a. Create a brief "story" that can explain the motion illustrated by the above equation. b. Explain how you can use the equation above to find a an instant in time at which the body is at rest. c. Make a velocity-time graph based on the above equation. Explain how you arrived at your graph. d. Make an acceleration-time graph based on the graph you created in part b. Explain how you arrived at your graph. e. Calculate the change-in-velocity for the body over the first ten seconds of its motion. Do this in two different ways, using the equation given above, and using the graph found in part d. Explain your work to earn full credit. f. Look up the "Position-Time Relationship for Motion with Constant Acceleration" given in Section 2.5 of the reading. Use the relationship to write down an equation for the position as a function of the time for this body's motion. Assume that the body starts at a position 1 m from the origin. Make sure to include units where appropriate to earn full credit. Explain your work. g. Make a position-time graph for the motion of the body. h. At what time does the body return to the origin? Explain how you arrived at the time. i. Make a complete motion diagram for the motion illustrated by the above equation. (Hint: it might be necessary to break up the motion into two separate motion diagrams)