Problem 3: Particle l is subjected to an acceleration a--kv, particle 2 is subjected to a k, and particle 3 is subjected to a = ks. All three particles start at the origin s = 0 with an initial velocity w = 9.2 m's at time 1-0, and the magnitude ofk is 0.11 for all three particles (note that the units of k vary from case to case). For each particle, plot the position, velocity and acceleration versus time for each particle over the range 0sS 10 s. Prior to this, obtain the position, velocity and acceleration of each particle as a function of time (for the second particle acceleration is already a known function of time) You can use either Matlab or Excel to plot your results. Please show respective steps leading to the plots, in terms of integration of acceleration to obtain velocity, and/or displacement