10. A particle of mass 0.2 kg moving along the z-axis has position z and speed v at time t. At time t = 0 s, v = (0 ms- and z = 1 m. The particle moves under the action of a force in the direction of increasing z and of magnitude N. (a) Assuming no other forces act on the particle show that: v = /40 In(x) (b) Assuming a constant resistive force of 2 N acts on the particle whenever it is moving show that the maximum speed tmaz the particle can reach is: U'maz = /20(2 In 2 – 2)

10. A particle of mass 0.2 kg moving along the z-axis has position z and speed v at time t. At time t = 0 s, v = (0 ms- and z = 1 m. The particle moves under the action of a force in the direction of increasing z and of magnitude N. (a) Assuming no other forces act on the particle show that: v = /40 In(x) (b) Assuming a constant resistive force of 2 N acts on the particle whenever it is moving show that the maximum speed tmaz the particle can reach is: U'maz = /20(2 In 2 – 2)