The total mass of a rocket is 2.9 x 10to the power of6kg. The total thrust of the first stage englines is 3.3 x 10to the power of7N What is the initial acceleration of the rocket?

Answer 1

According to Newton's law:

F = ma

Therefore:

a = F / m

Acceleration of rocket due to its thrust will be then

a = 3.3 * 107 / 2.9 * 106 = 11.38 m/s2.

If you consider rocket starting from some gravitational well(like Earth's), you have to take into account gravitational acceleration at the point(g for Earth's surface) that acts opposite(if rocket is facing away the mass centre, else it's a little more complicated) to find out net acceleration at the moment.

For rocket in our example, standing upright on the surface of Earth, net acceleration would be about 11.38 - 9.81 = 1.57 m/s2.