### Solve for vertical motion until the velocity becomes zero

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##### Reference no: EM131258062

Solve the problem of Example 9.2 by Milne's predictor-corrector method, and compare the results with those obtained earlier by the Runge-Kutta method. Comment on the difference between the computational effort involved in the two methods.

Example 9.2

A projectile of mass m is shot vertically upward at a velocity of 100 m/s. The frictional force acting on the projectile due to its motion in air is given as m(AV + BV2 ), where A and B are constants and V is the velocity at any given time t. Using the fourth order Runge-Kutta method, compute the vertical position x and the velocity V of the projectile as functions of time for

(a) A = 0.01 s-1 , B = 0.001m-1 , and

(b) A = 0.1 s-1 , B = 0.01 m-1 . Solve for the vertical motion until the velocity becomes zero.

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