The resultant of the forces acting on a particle of mass 2 kg in rectilinear motion is ⃗ = () ̂ . where the magnitude F(x) varies with position according to the graph in the figure. It is known that the particle has a kinetic energy of 7.5 J when passing through x = 0. 

a) Determine the kinetic energy of the particle when it reaches the position x = 1.5 m. 

b) Determine the speed of the particle when it reaches x = 3 m.

 

AF(N) 25 1 1 2 3 d(m)