January 8, 2022 3. A particle of mass 20 g is connected to one end of a spring on a frictionless horizontal surface and moving in a simple harmonic motion about the origin. The displacement given by x = 2 sin 3t , where x is in meters and time, f is in seconds. The motion starts when ( = 0. (a) (3 marks) What is the total distance travelled by the particle at time ( = 3T/4, where T is the time period? (b) (3 marks) Find the kinetic and potential energy of the particle at time f = 3T/4. (c) (4 marks) What is the acceleration of the particle when it first comes to a rest