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The Federation starship Enterprise is running out of fuel and therefore has an exponentially decreasing propulsion force. To make matters worse, the obnoxious nearly omnipotent being known as Q appears and decides to transport the Enterprise to the planet Gloop which has an extremely viscous atmosphere. According to Newton's 2nd Law, the ships velocity v(t) can therefore be modeled with -kt mv' + cv = pe Assume the the ship is initially at rest and m = 1, c = 2, p = 4, k = 1 a) Find v(t) and sketch a graph of v(t). You don't need to label specific values b) Use Euler's method manually (by hand) with a step size of h = 0.3 to obtain an approx solution for v(t=0.9)

The Federation starship Enterprise is running out of fuel and therefore has an exponentially decreasing propulsion force. To make matters worse, the obnoxious nearly omnipotent being known as Q appears and decides to transport the Enterprise to the planet Gloop which has an extremely viscous atmosphere. According to Newton's 2nd Law, the ships velocity v(t) can therefore be modeled with -kt mv' + cv = pe Assume the the ship is initially at rest and m = 1, c = 2, p = 4, k = 1 a) Find v(t) and sketch a graph of v(t). You don't need to label specific values b) Use Euler's method manually (by hand) with a step size of h = 0.3 to obtain an approx solution for v(t=0.9)

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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The Federation starship Enterprise is running out of fuel and therefore has an exponentially decreasing propulsion force. To make matters worse, the obnoxious nearly omnipotent being known as Q appears and decides to transport the Enterprise to the planet Gloop which has an extremely viscous atmosphere. According to Newton's 2nd Law, the ships velocity v(t) can therefore be modeled with -kt mv' + cv = pe Assume the the ship is initially at rest and m = 1, c = 2, p = 4, k = 1 a) Find v(t) and sketch a graph of v(t). You don't need to label specific values b) Use Euler's method manually (by hand) with a step size of h = 0.3 to obtain an approx solution for v(t=0.9)
Transcribed Image Text:The Federation starship Enterprise is running out of fuel and therefore has an exponentially decreasing propulsion force. To make matters worse, the obnoxious nearly omnipotent being known as Q appears and decides to transport the Enterprise to the planet Gloop which has an extremely viscous atmosphere. According to Newton's 2nd Law, the ships velocity v(t) can therefore be modeled with -kt mv' + cv = pe Assume the the ship is initially at rest and m = 1, c = 2, p = 4, k = 1 a) Find v(t) and sketch a graph of v(t). You don't need to label specific values b) Use Euler's method manually (by hand) with a step size of h = 0.3 to obtain an approx solution for v(t=0.9)
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