Program Explanation Given information: The speed of the spacecraft that free falls toward the surface of the moon is 1000 mph and the deceleration of 20000 mi/h 2 . Calculation: The velocity can be expressed as, v ( t ) = a t + v 0 ....... (1) The position function can be expressed as, y ( t ) = 1 2 a t 2 + v 0 t + y 0 ....... (2) Here, a is the acceleration, v 0 is the initial velocity and y 0 is the initial position. The spacecraft is falling. Therefore, the velocity is negative. The speed of the spacecraft that free falls toward the surface of the moon is 1000 mph Therefore, the initial velocity is v 0 = − 1000 . Now, substitute 20000 for a and − 1000 for v 0 in equation (1) as, v ( t ) = 20000 t − 1000 ....... (3) Now, substitute 20000 for a and − 1000 for v 0 in equation (2) as, y ( t ) = 1 2 ⋅ 20000 ⋅ t 2 − 1000 t + y 0 The velocity of the spacecraft would be 0 when the spacecraft stops

5th Edition

ISBN: 9780321974235

Author: Calvis

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Longest Common Subsequence

The Longest Common Subsequence (LCS) is defined as the longest subsequence that is shared by all of the given sequences, assuming that the subsequence's elements do not have to be in consecutive locations in the original sequences. It is used in the area…

Question

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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Chapter 1.2, Problem 41P

Chapter 1.2, Problem 43P

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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

EBK DIFFERENTIAL EQUATIONS

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The height above the lunar surfaces that the astronauts fire the retrorockets.

Solution Summary: The author calculates the height above the lunar surfaces that the astronauts fire the retrorockets.

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To calculate: The height above the lunar surfaces that the astronauts fire the retrorockets.

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Chapter 1 Solutions