A 12 kg zorb is launched downwards with an initial velocity of 2 m/s. The motion of the zorb is governed by Newton's 2nd law which states that m = mg - cv² The manufacturer of the zorb states that if SI units are used then c=3.5 Use Euler's method with a step size of 0.5 seconds to find the velocity of the zorb 1 second after release. You should use the approximation that g=10m/s² and enter your final answer to 2 decimal places (the units will be m/s). Using a table like that shown below is recommended. You can either fill in the table by hand or use excel to do the calculations. t 0 0.5 1 V v(t+h)=v+hv'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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the answer is 5.41, would like to see how to get to it using Euler's method

A 12 kg zorb is launched downwards with an initial velocity of 2 m/s.
The motion of the zorb is governed by Newton's 2nd law which states that
md = mg - cv²
The manufacturer of the zorb states that if SI units are used then c=3.5
Use Euler's method with a step size of 0.5 seconds to find the velocity of the zorb 1
second after release. You should use the approximation that g=10m/s² and enter
your final answer to 2 decimal places (the units will be m/s).
Using a table like that shown below is recommended. You can either fill in the table by
hand or use excel to do the calculations.
t
0
0.5
1
V
v'
v(t+h)=v+hv'
Transcribed Image Text:A 12 kg zorb is launched downwards with an initial velocity of 2 m/s. The motion of the zorb is governed by Newton's 2nd law which states that md = mg - cv² The manufacturer of the zorb states that if SI units are used then c=3.5 Use Euler's method with a step size of 0.5 seconds to find the velocity of the zorb 1 second after release. You should use the approximation that g=10m/s² and enter your final answer to 2 decimal places (the units will be m/s). Using a table like that shown below is recommended. You can either fill in the table by hand or use excel to do the calculations. t 0 0.5 1 V v' v(t+h)=v+hv'
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