consider a rocket that starts from rest and is propelled by a constant thrust of 2000 lb in a straight horizontal path for 20 seconds. Mass of the rocket varies with time with m= 50-t slugs, and the drag force is equal to three times the velocity. Find the velocity equation of the rocket. What is the velocity when t=10?

I realize this problem may be pretty hard. I am asking for more of a start or a similar example. Thanks.

Question

consider a rocket that starts from rest and is propelled by a constant thrust of 2000 lb in a straight horizontal path for 20 seconds. Mass of the rocket varies with time with m= 50-t slugs, and the drag force is equal to three times the velocity. Find the velocity equation of the rocket. What is the velocity when t=10?

I realize this problem may be pretty hard. I am asking for more of a start or a similar example. Thanks.