lab_02_expectations - 5 Solve equation(D with initial...

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Lab 02 Expectations Submit plots: pplane – 3, 4, 5a, 5b, 6; fplot – 6. Units in this lab is important. Make sure you express your answers in the correct units. 1. Nothing is required. Note: this will work if you substitute t for y in dfield. 2. Make the graph (using pplane7), but you won’t plot it until a later question. 3. Pplane plot, with 4 solutions. For the solutions that have a maximum height, what is it, in miles? For the solutions that go off the screen, approximate the limiting value as t goes to infinity in miles/sec. Turn in un-zoomed plot. 4. Plot orbit that goes through (10, 0). What is the initial velocity (to 2 decimals) of this orbit corresponding with x = 0? Then convert that initial velocity to miles/sec.
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Unformatted text preview: 5. Solve equation (D) with initial condition v = v0. Show your work! You should get the equation shown. 1. For v0 = 1, what is the maximum value for y? Do this both graphically and using the formula. 2. For v0 = sqrt(2), find the terminal velocity, that is find v, as y -> infinity. (Use limits) 3. Find the escape velocity using this formula. 6. Now we add air resistance. Repeat number 2 using equation (E). What is the new estimated escape velocity in miles/sec? Solve equation (E) analytically. Don’t worry about why the object escapes. Plot the E(v) function using fplot. 7. Find the escape velocity with k = . 1/seed. This will require you to resolve the equation from number 6 using this new k value....
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