Problem 1 The position x as a function of time of a particle that moves along a straight line is given by The velocity () of the particle is determined by the derivative of r(f) with respect tot, and the accelerationa() is determined by the derivative ofr(t) with respect to f. Derive the expressions for the velocity and acceleration of the particle, and make plots of the position, velocity, and acceleration as functions of time foro S f three bottom. Label the axes appropriately with the correct units. 20 s Use the subplot command to make the plots on the same page with the plot of the position on the top, the velocity in the middle. and the acceleration at the