Can a Rocket Surpass the Speed of Its Exhaust Gases?

[galtspeaking]

is it possible for a rocket to attain a speed greater than the velocity with which exhuast gases leave it? explain.

I am not sure about this, because relative to the gas, I think yes, but I am not sure if it is also greater relative to the ground. This question is from momentum/impulse unit, so can you explain this concept in those terms?

 

[zorro]

Derive an expression for the velocity of the rocket as a function of time. See what you can deduce from it.