A4.00-kg particle moves along the x axis. its position varies with time according to x 5 t 1 2.0t 3 , where x is in meters and t is in seconds. find (a) the kinetic energy of the particle at any time t, (b) the acceleration of the particle and the force acting on it at time t, (c) the power being delivered to the particle at time t, and (d) the work done on the particle in the interval t 5 0 to t 5 2.00 s. serway, raymond a.. physics for scientists and engineers (p. 240). cengage textbook. kindle edition.