Numerical Analysis

Onupoma Islam

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Joined
Aug 31, 2020
Messages
3
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:
𝑑𝑣/𝑑𝑑 = 𝑔 -(𝑐𝑑/π‘š)*𝑣^2
where 𝑣 is velocity (m/s), 𝑑 is time (s), 𝑔 is the acceleration due to gravity (9.81 m/s^2), 𝑐𝑑 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
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
22,083
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:
𝑑𝑣/𝑑𝑑 = 𝑔 -(𝑐𝑑/π‘š)*𝑣^2
where 𝑣 is velocity (m/s), 𝑑 is time (s), 𝑔 is the acceleration due to gravity (9.81 m/s^2), 𝑐𝑑 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
Please show us what you have tried and exactly where you are stuck.

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