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(a) The acceleration of an upward rocket is given by the following differential equation: dv ug dt mo - qt Where m, is the initial mass of the rocket at t = 0 (kg), q is the rate at which fuel is expelled (kg/s) and u is velocity at which the fuel is being expelled (m/s). Given the initial mass of the rocket is 150,000 kg. the rocket expels fuel at a velocity of 1400 m/s at a consumption rate of 1500 kg/s and g = 9.81 m/s². (i) Estimate the velocity of the rocket untill time t = 10 with At = 1 and v. = 0 using the Euler's Method in 4 decimal places.

(a) The acceleration of an upward rocket is given by the following differential equation: dv ug dt mo - qt Where m, is the initial mass of the rocket at t = 0 (kg), q is the rate at which fuel is expelled (kg/s) and u is velocity at which the fuel is being expelled (m/s). Given the initial mass of the rocket is 150,000 kg. the rocket expels fuel at a velocity of 1400 m/s at a consumption rate of 1500 kg/s and g = 9.81 m/s². (i) Estimate the velocity of the rocket untill time t = 10 with At = 1 and v. = 0 using the Euler's Method in 4 decimal places.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Q3 (a) The acceleration of an upward rocket is given by the following differential equation: dv uq dt mo - qt Where m, is the initial mass of the rocket at t = 0 (kg), q is the rate at which fuel is expelled (kg/s) and u is velocity at which the fuel is being expelled (m/s). Given the initial mass of the rocket is 150,000 kg, the rocket expels fuel at a velocity of 1400 m/s at a consumption rate of 1500 kg/s and g = 9.81 m/s?. (i) Estimate the velocity of the rocket untill time t = 10 with At = 1 and vo = 0 using the Euler's Method in 4 decimal places.
Transcribed Image Text:Q3 (a) The acceleration of an upward rocket is given by the following differential equation: dv uq dt mo - qt Where m, is the initial mass of the rocket at t = 0 (kg), q is the rate at which fuel is expelled (kg/s) and u is velocity at which the fuel is being expelled (m/s). Given the initial mass of the rocket is 150,000 kg, the rocket expels fuel at a velocity of 1400 m/s at a consumption rate of 1500 kg/s and g = 9.81 m/s?. (i) Estimate the velocity of the rocket untill time t = 10 with At = 1 and vo = 0 using the Euler's Method in 4 decimal places.
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