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A model rocket is launched upward from a stationary position on the launchpad. The following initial value problem describes the velocity of the rocket: dv =-9.8 + 314 - 0.5 v?, v(0) = 0. dt 12-0.1t Use the Euler method with step size 0.2 to approximate the velocity v(0.4) of the rocket 0.4 seconds after the launch O a) 27.46 m sec O b) 5.48 m sec c) 6.55 m sec m O d) 32.73 sec

A model rocket is launched upward from a stationary position on the launchpad. The following initial value problem describes the velocity of the rocket: dv =-9.8 + 314 - 0.5 v?, v(0) = 0. dt 12-0.1t Use the Euler method with step size 0.2 to approximate the velocity v(0.4) of the rocket 0.4 seconds after the launch O a) 27.46 m sec O b) 5.48 m sec c) 6.55 m sec m O d) 32.73 sec

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A model rocket is launched upward from a stationary position on the launchpad. The following initial value problem describes the velocity of the rocket: dv = -9.8 + dt 314 - 0.5 v?, v(0) = 0. 12-0.1t Use the Euler method with step size 0.2 to approximate the velocity v(0.4) of the rocket 0.4 seconds after the launch O a) 27.46 m sec О b) 5.48 m sec O c) 6.55 m sec O d) 32.73 m sec
Transcribed Image Text:A model rocket is launched upward from a stationary position on the launchpad. The following initial value problem describes the velocity of the rocket: dv = -9.8 + dt 314 - 0.5 v?, v(0) = 0. 12-0.1t Use the Euler method with step size 0.2 to approximate the velocity v(0.4) of the rocket 0.4 seconds after the launch O a) 27.46 m sec О b) 5.48 m sec O c) 6.55 m sec O d) 32.73 m sec
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