Relationship between acceleration and momentum

Answer 1

No. Momentum is defined as mass times velocity, acceleration is the rate of change of velocity. To be more accurate, velocity is a vector quantity, it has both magnitude and direction. Momentum is therefore also a vector quantity in the direction of the velocity with magnitude equal to the mass times the magnitude of the velocity: 1) p = mv Acceleration is also a vector quantity and in the direction of the change in velocity direction and represents the rate of change of velocity: 2) a = dv/dt Force is defined as the rate of change of momentum, and is therefore also a vector in the direction of the momentum change: 3) F = dp/dt Substituting 1) in 3) we get: 4) F = m(dv/dt) And since 2) defines dv/dt as acceleration we get: 5) F = ma In other words, force is mass times acceleration. Note: The assumption above is that mass remains constant. This is an approximation that remains true only for slow speeds in comparison with the speed of light. These equations do not hold when approaching the speed of light as mass increases, and in fact makes it impossible to actually accelerate something to the speed of light.

Answer 2

Acceleration is the time rate of change of an object's momentum,

as well as the time rate of change of its velocity.

Answer 3

yes