Shown below is a graph of the 1-dimensional force FYP,x(x), that you exert on a particle of mass 8 kg. The point 0,0 is in the lower-left corner. Each vertical grid line is 1 N, and each horizontal grid line is 1 m. The particle starts at x=4 m with a velocity of 12.19 m/s and reaches x=22 m under the action of only the force in the graph, i.e. the force shown is the net force. What is the speed of the particle when it reaches x=22?

Small ice cubes, each of mass 7.15 g, slide down a frictionless track in a steady stream, as shown in the figure below. Starting from rest, each cube moves down through a net vertical distance of h = 1.50 m and leaves the bottom end of the track at an angle of 40.0° above the horizontal. At the highest point of its subsequent trajectory, the cube strikes a vertical wall and rebounds with half the speed it had upon impact. If 25 cubes strike the wall per second, what average force is exerted upon the wall? N ---direction--- 1.50 m 40.0⁰

An object starts from rest at the origins and moves along the x-axis subject to the force shown in the diagram. If the mass of the object is 53kg, determine the speed of the object at the following positions. Each unit along the position axis is 2.0m and each unit along the force axis is 2.0N.