FIRST ORDER LINEAR EQUATIONS TO DYNAMICS A rocket that starts from rest is propelled by a constant thrust of 3000 pounds in a straight horizontal path for 40 seconds. Suppose that, as the propellant is burned, the mass of the rocket varies with time in accordance with m = 50 – t slugs, and that the drag force is numerically equal to four times the velocity. Please answer both parts: a) Find the velocity equation of the rocket (which includes finding C) b) What is the velocity of the rocket when t = 30 seconds?

FIRST ORDER LINEAR EQUATIONS TO DYNAMICS A rocket that starts from rest is propelled by a constant thrust of 3000 pounds in a straight horizontal path for 40 seconds. Suppose that, as the propellant is burned, the mass of the rocket varies with time in accordance with m = 50 – t slugs, and that the drag force is numerically equal to four times the velocity. Please answer both parts: a) Find the velocity equation of the rocket (which includes finding C) b) What is the velocity of the rocket when t = 30 seconds?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

FIRST ORDER LINEAR EQUATIONS TO DYNAMICS
A rocket that starts from rest is propelled by a
constant thrust of 3000 pounds in a straight
horizontal path for 40 seconds. Suppose that, as
the propellant is burned, the mass of the rocket
varies with time in accordance with m = 50 – t
slugs, and that the drag force is numerically equal
to four times the velocity.
Please answer both parts:
a) Find the velocity equation of the rocket (which
includes finding C)
b) What is the velocity of the rocket when t = 30
seconds?

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