Problem 3: Solve problem 18 on page 166 of Gilat's book 18. The position x as a function of time of a particle that moves along a straight line is given by The velocity v(1) of the particle is determined by the derivative of x(t) with with respect to t. x(t) 0.41 t4-10.8:3 + 64t2-82t + 4.4 ft 0 is determined by the derivative Derive the expressions for the velocity and acceleration of the particle, and make plots of the position, velocity, and acceleration as functions of time for 0sts8 s