A 3.40-kg particle moves along the x axis. Its position varies with time according to x = t + 3.0t3, where x is in meters and t is in seconds.
(a) Find the kinetic energy of the particle at any time t. (Use the following as necessary: t.)
(b) Find the magnitude of the acceleration of the particle and the force acting on it at time t. (Use the following as necessary: t.)
(c) Find the power being delivered to the particle at time t. (Use the following as necessary: t.)
(d) Find the work done on the particle in the interval t = 0 to t = 4.50 s.