A stone is thrown vertically upward in air at a velocity of 30 m/s. Due to gravity and air friction, the governing ODE, for the velocity V as a function of time t, is obtained as d d V t = −g A − V1 7. where g = 9.8 m/s2 and A = 0.002 m−1 . Solve this equation by Heun’s method till V becomes zero or negative, using two step sizes Δx = 0.01 and 0.1 and compare the results. Plot the results obtained. Also use the ode23 command in MATLAB to get the solution and compare with your earlier results.
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