Classical mechanics
From Conservapedia
Classical mechanics refers to a branch of physics dealing with every-day laws of mechanics (as opposed to quantum mechanics). The term is interchangeable with "Newtonian physics", as it was Sir Isaac Newton who first proposed the first laws of motion. Classical mechanics is sufficient for explaining most observable phenomena.
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Limitations
Classical mechanics only breaks down in extreme conditions, such as traveling close to the speed of light, being near extremely high gravity, or dealing with subatomic particles. For example, special relativity gives the correction factor at high speeds as
- γ=
where v is the velocity of an object and c is the speed of light. At 1000 miles per hour, the correction is .999999999999991.
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Distance, Velocity, Acceleration
Velocity is defined as the derivative of position with respect to time, or
. It therefore follows that, for motion at constant velocity, Δx=vt. Similarly, acceleration is defined as the derivative of velocity with respect to time, so Δv=at.
Putting these two equations together, we find that, for constant acceleration, Δx=v0t+0.5at2.
In addition, Δx=vt is true for any average velocity. It therefore follows:
- (vf + v0) * a * t = 2 * a * δx
- (vf + v0) * δv = 2 * a * δx
These, then, are the four basic kinematics equations:
- Δx=vt
- Δv=at
- Δx=vavt
