Damping proportional to v2. Suppose the oscillatorof Example 14-5 is damped by a force proportional tothe square of the velocity, damping = ~cv2, wherec = 0.275 kg/m is a constant. Numerically integrate* thedifferential equation from t = 0 to t = 2.00 s to anaccuracy of 2%, and plot your results.

h t g Week3Notes n • AverageVelocity e o v=Δx/Δt • AverageSpeed L o PathLength/Δt h t - a -- P -- Δ - - Example#1:BIKETRIP North5blocksin5minutes East3blocksin6minutes South5blocksin10minutes Findthetotalaveragespeedandtotalaveragevelocity. PathLength=5+3+5=13