Suppose we have a small rocket with a full 120 liter fuel

Last updated: 6/27/2023

Suppose we have a small rocket with a full 120 liter fuel tank Fuel with a mass density of 1 kg liter is burned at a steady rate of 2 liters per second and can provide a constant thrust force of 5900 Newtons as it burns The rocket and fuel tank has a mass of 400 kg with no fuel in it The shape design of the rocket causes a resistance proportional to its velocity during flight of 2 v t where v t is in m s and the constant 2 for proportionality of resistance is 2 N m s Give a piecewise function for the force on the rocket over time and use the force equation to find a piecewise function for the acceleration of the rocket over time