We start with the equation of motion then integrate this equation where the limits of the integration are determined by the initial conditions (t = 0 and = and v v0) final conditions (t and v) Therefore, we can express the velocity as v velocity In every case, the velocity tends towards the limiting value v vT. Plots of the velocity as functions of time v t = 2.00 kg m = 5.00 kg.s-1 = 9.80 m.s-2 g = 3.92 m.s-1 vT Initial values for velocity [m.s-1] v0 blue: 10 red: vT magenta: 2 cyan: 0 The acceleration as a function of time is a t Initial values for velocity [m.s-1] v0 blue: 10 red: magenta: 2 cyan: 0 vT
We start with the equation of motion then integrate this equation where the limits of the integration are determined by the initial conditions (t = 0 and v = v0) and final conditions (t and v) Therefore, we can express the velocity v as velocity In every case, the velocity v tends towards the limiting value vT. Plots of the velocity v as functions of time t m = 2.00 kg = 5.00 kg.s-1 g = 9.80 m.s-2 vT = 3.92 m.s-1 Initial values for velocity v0 [m.s-1] blue: 10 red: vT magenta: 2 cyan: 0 The acceleration a as a function of time t is Initial values for velocity v0 [m.s-1] blue: 10 red: vT magenta: 2 cyan: 0