As a rocket accelerates upward, its thrust remains constant but its acceleration increases. what is the cause of this?

It has lessor mass as it goes upward if it is burning fuel.

Also (and this contributes only scantly), the force of gravity is diminished as the rocket moves farther from Earth.

The cause of the rocket's increasing acceleration while its thrust remains constant is the decrease in the rocket's mass as it burns fuel.

Let's break it down step by step:

1. A rocket's propulsion system generates thrust by expelling high-speed exhaust gases in the opposite direction of its desired motion. The reaction force from expelling the gases creates the forward thrust, according to Newton's Third Law of Motion.

2. At the initial stage of the rocket's flight, its mass is relatively high due to the presence of a large amount of unburned fuel and other equipment. Since the thrust generated by the rocket's engines remains constant, the resulting acceleration is relatively low.

3. As the rocket ascends, it gradually burns its onboard fuel, which reduces its overall mass. The mass of the rocket is an essential factor in determining its acceleration according to Newton's Second Law of Motion, F = ma, where F represents force (thrust), m represents mass, and a represents acceleration.

4. With the thrust remaining constant but the mass decreasing, the value of acceleration increases. Since acceleration is inversely proportional to mass (assuming thrust remains constant), a smaller mass allows for a greater acceleration.

In summary, the rocket's increasing acceleration while its thrust remains constant is due to the reduction in mass as it burns fuel, as described by Newton's Second Law of Motion.