Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
5th Edition
ISBN: 9780321816252
Author: C. Henry Edwards, David E. Penney, David Calvis
Publisher: PEARSON
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Chapter 1.2, Problem 42P
Program Plan Intro
To calculate: The height above the lunar surfaces that the astronauts fire the retrorockets.
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PLS ANSWER
The flight of a model rocket can be modeled as follows. During the first 0.15 s the rocket is propelled upward by the rocket engine with a force of 16 N. The rocket then flies up while slowing down under the force of gravity. After it reaches the apex, the rocket starts to fall back down. When its downward velocity reaches 20 m/s, a parachute opens (assumed to open instantly), and the rocket continues to drop at a constant speed of 20 m/s until it hits the ground. Write a program that calculates and plots the speed and altitude of the rocket as a function of time during the flight.
SOLVE WITH MATLAB PLEASE
2. calculates the trajectory r(t) and stores the coordinates for time steps At as a nested list trajectory that contains [[xe, ye,
ze], [x1, y1, z1], [x2, y2, z2], ...]. Start from time t = 0 and use a time step At = 0.01; the last data point in the
trajectory should be the time when the oscillator "hits the ground", i.e., when z(t) ≤ 0;
3. stores the time for hitting the ground (i.e., the first time t when z(t) ≤ 0) in the variable t_contact and the corresponding positions
in the variables x_contact, y_contact, and z_contact. Print
t_contact = 1.430
X_contact = 0.755
y contact = -0.380
z_contact =
(Output floating point numbers with 3 decimals using format (), e.g., "t_contact = {:.3f}" .format(t_contact).) The partial
example output above is for ze = 10.
4. calculates the average x- and y-coordinates
1
y =
Yi
N
where the x, y, are the x(t), y(t) in the trajectory and N is the number of data points that you calculated.
Store the result as a list in the variable center = [x_avg, y_avg]…
Chapter 1 Solutions
Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
Ch. 1.1 - Prob. 1PCh. 1.1 - Prob. 2PCh. 1.1 - Prob. 3PCh. 1.1 - Prob. 4PCh. 1.1 - Prob. 5PCh. 1.1 - Prob. 6PCh. 1.1 - Prob. 7PCh. 1.1 - Prob. 8PCh. 1.1 - Prob. 9PCh. 1.1 - Prob. 10P
Ch. 1.1 - Prob. 11PCh. 1.1 - Prob. 12PCh. 1.1 - Prob. 13PCh. 1.1 - Prob. 14PCh. 1.1 - Prob. 15PCh. 1.1 - Prob. 16PCh. 1.1 - Prob. 17PCh. 1.1 - Prob. 18PCh. 1.1 - Prob. 19PCh. 1.1 - Prob. 20PCh. 1.1 - Prob. 21PCh. 1.1 - Prob. 22PCh. 1.1 - Prob. 23PCh. 1.1 - Prob. 24PCh. 1.1 - Prob. 25PCh. 1.1 - Prob. 26PCh. 1.1 - Prob. 27PCh. 1.1 - Prob. 28PCh. 1.1 - Prob. 29PCh. 1.1 - Prob. 30PCh. 1.1 - Prob. 31PCh. 1.1 - Prob. 32PCh. 1.1 - Prob. 33PCh. 1.1 - Prob. 34PCh. 1.1 - Prob. 35PCh. 1.1 - Prob. 36PCh. 1.1 - Prob. 37PCh. 1.1 - Prob. 38PCh. 1.1 - Prob. 39PCh. 1.1 - Prob. 40PCh. 1.1 - Prob. 41PCh. 1.1 - Prob. 42PCh. 1.1 - Prob. 43PCh. 1.1 - Prob. 44PCh. 1.1 - Prob. 45PCh. 1.1 - Prob. 46PCh. 1.1 - Prob. 47PCh. 1.1 - Prob. 48PCh. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - In Problems 1 through 10, find a function y=f(x)...Ch. 1.2 - Prob. 6PCh. 1.2 - Prob. 7PCh. 1.2 - Prob. 8PCh. 1.2 - Prob. 9PCh. 1.2 - Prob. 10PCh. 1.2 - Prob. 11PCh. 1.2 - Prob. 12PCh. 1.2 - Prob. 13PCh. 1.2 - Prob. 14PCh. 1.2 - Prob. 15PCh. 1.2 - Prob. 16PCh. 1.2 - Prob. 17PCh. 1.2 - Prob. 18PCh. 1.2 - Prob. 19PCh. 1.2 - Prob. 20PCh. 1.2 - Prob. 21PCh. 1.2 - Prob. 22PCh. 1.2 - Prob. 23PCh. 1.2 - A ball is dropped from the top of a building 400...Ch. 1.2 - Prob. 25PCh. 1.2 - Prob. 26PCh. 1.2 - Prob. 27PCh. 1.2 - Prob. 28PCh. 1.2 - A diesel car gradually speeds up so that for the...Ch. 1.2 - Prob. 30PCh. 1.2 - Prob. 31PCh. 1.2 - Prob. 32PCh. 1.2 - On the planet Gzyx, a ball dropped from a height...Ch. 1.2 - Prob. 34PCh. 1.2 - Prob. 35PCh. 1.2 - Prob. 36PCh. 1.2 - Prob. 37PCh. 1.2 - Prob. 38PCh. 1.2 - If a=0.5mi and v0=9mi/h as in Example 4, what must...Ch. 1.2 - Prob. 40PCh. 1.2 - Prob. 41PCh. 1.2 - Prob. 42PCh. 1.2 - Prob. 43PCh. 1.2 - Prob. 44PCh. 1.3 - Prob. 1PCh. 1.3 - Prob. 2PCh. 1.3 - Prob. 3PCh. 1.3 - Prob. 4PCh. 1.3 - Prob. 5PCh. 1.3 - Prob. 6PCh. 1.3 - Prob. 7PCh. 1.3 - Prob. 8PCh. 1.3 - Prob. 9PCh. 1.3 - Prob. 10PCh. 1.3 - Prob. 11PCh. 1.3 - Prob. 12PCh. 1.3 - Prob. 13PCh. 1.3 - Prob. 14PCh. 1.3 - Prob. 15PCh. 1.3 - Prob. 16PCh. 1.3 - Prob. 17PCh. 1.3 - Prob. 18PCh. 1.3 - Prob. 19PCh. 1.3 - Prob. 20PCh. 1.3 - Prob. 21PCh. 1.3 - Prob. 22PCh. 1.3 - Prob. 23PCh. 1.3 - Prob. 24PCh. 1.3 - Prob. 25PCh. 1.3 - Prob. 26PCh. 1.3 - Prob. 27PCh. 1.3 - Prob. 28PCh. 1.3 - Verify that if c is a constant, then the function...Ch. 1.3 - Prob. 30PCh. 1.3 - Prob. 31PCh. 1.3 - Prob. 32PCh. 1.3 - Prob. 33PCh. 1.3 - (a) Use the direction field of Problem 5 to...Ch. 1.3 - Prob. 35PCh. 1.4 - Prob. 1PCh. 1.4 - Prob. 2PCh. 1.4 - Prob. 3PCh. 1.4 - Prob. 4PCh. 1.4 - Prob. 5PCh. 1.4 - Prob. 6PCh. 1.4 - Prob. 7PCh. 1.4 - Prob. 8PCh. 1.4 - Prob. 9PCh. 1.4 - Prob. 10PCh. 1.4 - Prob. 11PCh. 1.4 - Prob. 12PCh. 1.4 - Prob. 13PCh. 1.4 - Prob. 14PCh. 1.4 - Prob. 15PCh. 1.4 - Prob. 16PCh. 1.4 - Prob. 17PCh. 1.4 - Prob. 18PCh. 1.4 - Prob. 19PCh. 1.4 - Prob. 20PCh. 1.4 - Prob. 21PCh. 1.4 - Prob. 22PCh. 1.4 - Prob. 23PCh. 1.4 - Prob. 24PCh. 1.4 - Prob. 25PCh. 1.4 - Prob. 26PCh. 1.4 - Prob. 27PCh. 1.4 - Prob. 28PCh. 1.4 - Prob. 29PCh. 1.4 - Prob. 30PCh. 1.4 - Prob. 31PCh. 1.4 - Prob. 32PCh. 1.4 - (Population growth) A certain city had a...Ch. 1.4 - Prob. 34PCh. 1.4 - Prob. 35PCh. 1.4 - (Radiocarbon dating) Carbon taken from a purported...Ch. 1.4 - Prob. 37PCh. 1.4 - (Continuously compounded interest) Suppose that...Ch. 1.4 - Prob. 39PCh. 1.4 - Prob. 40PCh. 1.4 - Prob. 41PCh. 1.4 - Prob. 42PCh. 1.4 - Prob. 43PCh. 1.4 - Prob. 44PCh. 1.4 - Prob. 45PCh. 1.4 - Prob. 46PCh. 1.4 - Prob. 47PCh. 1.4 - Prob. 48PCh. 1.4 - Prob. 49PCh. 1.4 - The amount A (t ) of atmospheric pollutants in a...Ch. 1.4 - An accident at a nuclear power plant has left the...Ch. 1.4 - Prob. 52PCh. 1.4 - Prob. 53PCh. 1.4 - Prob. 54PCh. 1.4 - Prob. 55PCh. 1.4 - Prob. 56PCh. 1.4 - Prob. 57PCh. 1.4 - Prob. 58PCh. 1.4 - Prob. 59PCh. 1.4 - Prob. 60PCh. 1.4 - A spherical tank of radius 4 ft is full of water...Ch. 1.4 - Prob. 62PCh. 1.4 - Prob. 63PCh. 1.4 - (The clepsydra, or water clock) A 12 h water clock...Ch. 1.4 - Prob. 65PCh. 1.4 - Prob. 66PCh. 1.4 - Prob. 67PCh. 1.4 - Figure 1.4.11 shows a bead sliding down a...Ch. 1.4 - Prob. 69PCh. 1.5 - Prob. 1PCh. 1.5 - Prob. 2PCh. 1.5 - Prob. 3PCh. 1.5 - Prob. 4PCh. 1.5 - Prob. 5PCh. 1.5 - Prob. 6PCh. 1.5 - Prob. 7PCh. 1.5 - Prob. 8PCh. 1.5 - Prob. 9PCh. 1.5 - Prob. 10PCh. 1.5 - Prob. 11PCh. 1.5 - Prob. 12PCh. 1.5 - Prob. 13PCh. 1.5 - Prob. 14PCh. 1.5 - Prob. 15PCh. 1.5 - Prob. 16PCh. 1.5 - Prob. 17PCh. 1.5 - Prob. 18PCh. 1.5 - Prob. 19PCh. 1.5 - Prob. 20PCh. 1.5 - Prob. 21PCh. 1.5 - Prob. 22PCh. 1.5 - Prob. 23PCh. 1.5 - Prob. 24PCh. 1.5 - Prob. 25PCh. 1.5 - Prob. 26PCh. 1.5 - Prob. 27PCh. 1.5 - Prob. 28PCh. 1.5 - Prob. 29PCh. 1.5 - Prob. 30PCh. 1.5 - Prob. 31PCh. 1.5 - Prob. 32PCh. 1.5 - Prob. 33PCh. 1.5 - Prob. 34PCh. 1.5 - Prob. 35PCh. 1.5 - Prob. 36PCh. 1.5 - Prob. 37PCh. 1.5 - Prob. 38PCh. 1.5 - Prob. 39PCh. 1.5 - Prob. 40PCh. 1.5 - Prob. 41PCh. 1.5 - Prob. 42PCh. 1.5 - Figure 1.5.7 shows a slope field and typical...Ch. 1.5 - Prob. 44PCh. 1.5 - Prob. 45PCh. 1.5 - Prob. 46PCh. 1.6 - Prob. 1PCh. 1.6 - Prob. 2PCh. 1.6 - Prob. 3PCh. 1.6 - Prob. 4PCh. 1.6 - Prob. 5PCh. 1.6 - Prob. 6PCh. 1.6 - Prob. 7PCh. 1.6 - Prob. 8PCh. 1.6 - Prob. 9PCh. 1.6 - Prob. 10PCh. 1.6 - Prob. 11PCh. 1.6 - Prob. 12PCh. 1.6 - Prob. 13PCh. 1.6 - Prob. 14PCh. 1.6 - Prob. 15PCh. 1.6 - Prob. 16PCh. 1.6 - Prob. 17PCh. 1.6 - Prob. 18PCh. 1.6 - Prob. 19PCh. 1.6 - Prob. 20PCh. 1.6 - Prob. 21PCh. 1.6 - Prob. 22PCh. 1.6 - Prob. 23PCh. 1.6 - Prob. 24PCh. 1.6 - Prob. 25PCh. 1.6 - Prob. 26PCh. 1.6 - Prob. 27PCh. 1.6 - Prob. 28PCh. 1.6 - Prob. 29PCh. 1.6 - Prob. 30PCh. 1.6 - Prob. 31PCh. 1.6 - Prob. 32PCh. 1.6 - Prob. 33PCh. 1.6 - Prob. 34PCh. 1.6 - Prob. 35PCh. 1.6 - Prob. 36PCh. 1.6 - Prob. 37PCh. 1.6 - Prob. 38PCh. 1.6 - Prob. 39PCh. 1.6 - Prob. 40PCh. 1.6 - Prob. 41PCh. 1.6 - Prob. 42PCh. 1.6 - Prob. 43PCh. 1.6 - Prob. 44PCh. 1.6 - Prob. 45PCh. 1.6 - Prob. 46PCh. 1.6 - Prob. 47PCh. 1.6 - Prob. 48PCh. 1.6 - Prob. 49PCh. 1.6 - Prob. 50PCh. 1.6 - Prob. 51PCh. 1.6 - Prob. 52PCh. 1.6 - Prob. 53PCh. 1.6 - Prob. 54PCh. 1.6 - Prob. 55PCh. 1.6 - Suppose that n0 and n1. Show that the substitution...Ch. 1.6 - Prob. 57PCh. 1.6 - Prob. 58PCh. 1.6 - Solve the differential equation dydx=xy1x+y+3 by...Ch. 1.6 - Prob. 60PCh. 1.6 - Prob. 61PCh. 1.6 - Prob. 62PCh. 1.6 - Prob. 63PCh. 1.6 - Prob. 64PCh. 1.6 - Prob. 65PCh. 1.6 - Prob. 66PCh. 1.6 - Prob. 67PCh. 1.6 - Prob. 68PCh. 1.6 - Prob. 69PCh. 1.6 - As in the text discussion, suppose that an...Ch. 1.6 - Prob. 71PCh. 1.6 - Prob. 72PCh. 1 - Prob. 1RPCh. 1 - Prob. 2RPCh. 1 - Prob. 3RPCh. 1 - Prob. 4RPCh. 1 - Prob. 5RPCh. 1 - Prob. 6RPCh. 1 - Prob. 7RPCh. 1 - Prob. 8RPCh. 1 - Prob. 9RPCh. 1 - Prob. 10RPCh. 1 - Prob. 11RPCh. 1 - Prob. 12RPCh. 1 - Prob. 13RPCh. 1 - Prob. 14RPCh. 1 - Prob. 15RPCh. 1 - Prob. 16RPCh. 1 - Prob. 17RPCh. 1 - Prob. 18RPCh. 1 - Prob. 19RPCh. 1 - Prob. 20RPCh. 1 - Prob. 21RPCh. 1 - Prob. 22RPCh. 1 - Prob. 23RPCh. 1 - Prob. 24RPCh. 1 - Prob. 25RPCh. 1 - Prob. 26RPCh. 1 - Prob. 27RPCh. 1 - Prob. 28RPCh. 1 - Prob. 29RPCh. 1 - Prob. 30RPCh. 1 - Prob. 31RPCh. 1 - Prob. 32RPCh. 1 - Prob. 33RPCh. 1 - Prob. 34RPCh. 1 - Prob. 35RPCh. 1 - Prob. 36RP
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