Long Response Directions: Answer the following 2 questions and show all of your work. 1. [4 points, 25%] A particle of mass m = 11 kg is initially at rest at the origin and constrained to move along the x-axis only. A net force Fret = = sin(2x) is applied to the particle until x = = meters. After that, the force becomes quadratic and can be modelled as Fret - ax' + Bx + y. The location x - a on the graph is the position where AK = 0 J. See the graph below: Fnet (N) cim 1. What must be the units of a, B, & y? ii. If a = 16', 6 = -8t, and y = 0, determine the equation needed to be solved for the value of a such that AK - 0 J. Simplify it as much as possible, but do not solve it. Hint: It will be a cubic equation. Bonus: Solve the equation you found in ji. iv. In which direction is the particle moving whenFe; - 0 N on the graph? v . What is the particle's speed at x = a