Question 3. The acceleration of a robot as it moves along a straight line in the horizontal x-axis is given by -kt a = e (2 cos wt +3 sin wt), k = 0, w % 0, where k and w are positive constants and the time t is in seconds. If the initial position xo 1 m and initial velocity vo = 2 m/sec when t = 0, (i) determine the velocity v = v(t) as a function of time (ii) determine the position x = x(t) as a function of time (iii) choose suitable values for k, w and time interval 0t to plot the x t, v t and at graphs