1. Develop Stella Model 2. Display Velocity (dx/dt) and Position (x) vs. Time 3. Display Position vs. Velocity 4. Experiment with different values for the constants c and k below. 5. Recommendation - Model the Dampened Spring Force Equation for acceleration: a = d2x/dt2 = F/m =(1/m)*(F(0)*cos(@*t)- kx -cv) a = acceleration (d2x/dt2), x = position, v = velocity = dx/dt, m=mass, @ = Radians/sec, c is the damping coefficient, k is the spring constant Initial Assumptions: F(0) = 5 Newton @ =3 c= .5 (damping coefficient damping slow the velocity), k= 12 (spring constant weight/unit extension of spring) m = .2 kg dx/dt(0) = 0 x(0) = 0 Cx m -F(t) kx- k TTTIT * * (1) mg