Numerical Analysis

[Onupoma Islam]

Assuming that drag is proportional to the square of velocity, we can model the velocity of a
falling object like a parachutist with the following differential equation:
??/?? = ? -(??/?)*?^2
where ? is velocity (m/s), ? is time (s), ? is the acceleration due to gravity (9.81 m/s^2), ?? is a
second-order drag coefficient (kg/m), and m is mass (kg). Solve for the velocity and distance
fallen by a 90 kg object with a drag coefficient of 0.225 kg/m. if the initial height is 1 km,
determine when it hits the ground. Obtain your solution with
(i) Euler’s method
(ii) The fourth-order RK method

 

[Deleted member 4993]

Assuming that drag is proportional to the square of velocity, we can model the velocity of a
falling object like a parachutist with the following differential equation:
??/?? = ? -(??/?)*?^2
where ? is velocity (m/s), ? is time (s), ? is the acceleration due to gravity (9.81 m/s^2), ?? is a
second-order drag coefficient (kg/m), and m is mass (kg). Solve for the velocity and distance
fallen by a 90 kg object with a drag coefficient of 0.225 kg/m. if the initial height is 1 km,
determine when it hits the ground. Obtain your solution with
(i) Euler’s method
(ii) The fourth-order RK method

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