You are given the equation used to solve a problem. For each of these, you are to
a. Write a realistic problem for which this is the correct equation.
b. Draw the before-and-after pictorial representation.
c. Finish the solution of the problem.

1/2 (0.50 kg)v_f² + (0.50 kg)(9.80 m/s²)(0 m)
+ 1/2 (400 N/m)(0 m)² = 1/2 (0.50 kg)(0 m/s)²
+ (0.50 kg)(9.80 m/s²)((-0.10 m) sin 30°)
+ 1/2 (400 N/m)(-0.10 m)²