A bungee jumper leaps from a bridge. Velocity is determined by the given differential equation. dv dt Gravitational acceleration (g) is 9.81 m/s², the jumper mass (m) is 60.0 kg and the drag coefficient (Cp) is 0.15 kg/m. Determine the velocity for first 4.4 s of free fall (t=4.4 s) with a step size (At) of 2.2 s by applying Runge Kutta method. (Assume, at t=0,v=0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A bungee jumper leaps from a bridge. Velocity is determined by the given differential equation.
dv
CD
v2
dt
m
Gravitational acceleration (g) is 9.81 m/s², the jumper mass (m) is 60.0 kg and the drag coefficient (Cp)
is 0.15 kg/m. Determine the velocity for first 4.4 s of free fall (t=4.4 s) with a step size (At) of 2.2 s by
applying Runge Kutta method. (Assume, at t = 0, v = 0)
Transcribed Image Text:A bungee jumper leaps from a bridge. Velocity is determined by the given differential equation. dv CD v2 dt m Gravitational acceleration (g) is 9.81 m/s², the jumper mass (m) is 60.0 kg and the drag coefficient (Cp) is 0.15 kg/m. Determine the velocity for first 4.4 s of free fall (t=4.4 s) with a step size (At) of 2.2 s by applying Runge Kutta method. (Assume, at t = 0, v = 0)
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