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.
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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?
Transcribed Image Text: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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