Answer:
No, it is not possible for a rocket to attain a speed greater than the velocity with which the exhaust gases leave it.
Explanation:
According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In the case of a rocket, the action is the expulsion of exhaust gases from the rocket engine, and the reaction is the forward motion of the rocket itself.
The speed at which the exhaust gases leave the rocket, also known as the exhaust velocity, is determined by the design and operation of the rocket engine. The exhaust velocity represents the maximum speed at which the rocket can propel itself forward.
Since the rocket is propelled forward by the expulsion of the exhaust gases, it cannot exceed the speed of these gases. The velocity of the rocket is limited by the exhaust velocity, and it cannot surpass it.
To put it simply, the rocket's speed is directly related to the speed at which the exhaust gases are expelled. The rocket can only reach a speed equal to or lower than the exhaust velocity.