Newton's First Law: "Every object persists in it's of rest or uniform motion in a straight line unless it is compelled to change that state by forces impressed on it."
Applied to rocket liftoff
Before firing:
The object in a state of rest, airspeed zero.
Engine fired:
Thrust increases from zero.
Weight decreases slightly as fuel burns.
When Thrust is greater than weight:
Net force (Thrust-Weight) is positive upward.
Rocket accelerates upward
Velocity increases
Newton's Second Law Differential form: Force = change of momentum with change of time
F=d(mv)dt or:
Force= change in mass \times velocity with time
F=(m1V1−m0V0)(t1−t0) With mass constant: Force=
mass×acceleration F=ma
Force, acceleration, momentum and velocity are all vector quantities. Each has both a magnitude and a direction.
Newton's Third Law: For every action, there is an equal and opposite reaction.
Rocket Engine Thrust