intermediate calculations.) A particle with a mass m = 2.00 kg is moving along the x axis under the influence of the potential energy function U(x) = (2.00 J/m?)x2 - 32.0 J. If the particle is released from rest at the position x = 5.80 m, determine the following. (The sign is important. Be sure not to round (a) total mechanical energy of the particle at any position 35.28 (b) potential energy of the particle at the position x = 3.40 m -8.88 (c) kinetic energy of the particle at the position x = 3.40 m 44.16 (d) maximum speed of the particle as it travels along the x axis The particle will have its maximum speed when the kinetic energy has its maximum value. How can we determine the maximum value for the kinetic energy? m/s (e) acceleration of the particle at the position x = 3.40 m (Indicate the direction with the sign of your answer.) -34 How may we determine the force acting on the particle from the potential energy function? How is the acceleration of the particle related to the force it experiences? m/s? maximum position the particle may obtain along the x axis 5.8 m Additional Materials