please. use matlab. Task 1A rocket's mass m(t) is a function of time t because it decreases as it burns fuel. Newton's law statesthat the equation of motion for a rocket in flight is given by:dvm(t) = T - m(t)gdtwhere T is the rocket's thrust, g is the gravitational acceleration. Hence, the velocity of the rocket canbe calculated as:The mass follows the relationship:T - m(t)gm(t)v(t) = [¹7m(t) = modtrt(1-7²)bwhere mo is the rocket's initial mass, b is the burn time, and r is the fraction of the total mass accountedfor by the fuel. Assume the following values: T = 50000 N, mo = 2000 kg, r = 0.8, g = 9.81 ms2, b = 40 s.´dv`A. Plot the acceleration.dtB. Calculate the velocity of the rocket at burnout usingof the rocket from t = Os to 40s as a blue continuous line.a. trapezoidal rule with 99 pointsb. Simpson's 1/3 rule with 99 pointsMATLAB's integral() functionC.

Solution of A : Matlab code with comments : % Solution A T = 50000 ; % Declaring the value of T as…

Assume the following values: T = 50000 N, mo = 2000 kg, r = 0.8, g = 9.81 ms2, b = 40 s. A. Plot the acceleration () of the rocket from t = Os to 40s as a blue continuous line. B. Calculate the velocity of the rocket at burnout using a. trapezoidal rule with 99 points b. Simpson's 1/3 rule with 99 points MATLAB's integral() function C.

Assume the following values: T = 50000 N, mo = 2000 kg, r = 0.8, g = 9.81 ms2, b = 40 s. A. Plot the acceleration () of the rocket from t = Os to 40s as a blue continuous line. B. Calculate the velocity of the rocket at burnout using a. trapezoidal rule with 99 points b. Simpson's 1/3 rule with 99 points MATLAB's integral() function C.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

please. use matlab.

Task 1
A rocket's mass m(t) is a function of time t because it decreases as it burns fuel. Newton's law states
that the equation of motion for a rocket in flight is given by:
dv
m(t) = T - m(t)g
dt
where T is the rocket's thrust, g is the gravitational acceleration. Hence, the velocity of the rocket can
be calculated as:
The mass follows the relationship:
T - m(t)g
m(t)
v(t) = [¹7
m(t) = mo
dt
rt
(1-7²)
b
where mo is the rocket's initial mass, b is the burn time, and r is the fraction of the total mass accounted
for by the fuel.

Assume the following values: T = 50000 N, mo = 2000 kg, r = 0.8, g = 9.81 ms2, b = 40 s.
´dv`
A. Plot the acceleration
.dt
B. Calculate the velocity of the rocket at burnout using
of the rocket from t = Os to 40s as a blue continuous line.
a. trapezoidal rule with 99 points
b. Simpson's 1/3 rule with 99 points
MATLAB's integral() function
C.

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