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Consider the equations m*dv/dt = F - mg or mv\' = -mg -kv. Where v = v(t) is the

ID: 3082941 • Letter: C

Question

Consider the equations m*dv/dt = F - mg or mv' = -mg -kv. Where v = v(t) is the velocity of the falling object and g = 9.81 m/s^2. here we assume that the motion occurs in the vertical direction with the ordinate directed upward. a typical model of drag force is either Newtonian damping which is proportional to the square of the of the magnitude of its velocity, namely F = -kv^2, with the newtonian damping constant k or viscous damping when F = -kv. Suppose that an object of mass m falls from a cliff with no initial velocity. Find time when the object gets within 1% of its terminal velocity. choose drag coefficient k to be equal to k = mv, and consider both models newtonian damping and viscous damping. PLEASE HELP ME

Explanation / Answer

this maybe helpful!! http://arachnoid.com/sage/terminal_velocity.html