## Acceleration

• Acceleration is a vector which describes the rate of change of velocity of an object.
• The average acceleration over some interval is the total change in velocity during that interval, divided by the time.
• The instantaneous acceleration at some moment in time is the change in velocity of the object right now!
• Instantaneous acceleration is the derivative of velocity with respect to time.
• When an object moves with constant acceleration, there are a set of 4 equations which relate its position, velocity, acceleration, and time. You will need to memorize these equations to solve many problems.
```          v - v0  =   a * (t - t0)

x - x0  =   0.5 * (v + v0) * (t - t0)

x - x0  =   v0 * (t - t0)  +  0.5 * a * (t - t0)^2

v^2 - v0^2 =   2 * a * (x - x0)
```
• Why do we put such an emphasis on constant acceleration?
• because it does occur frequently in the real world
• because the kinematic equations for constant acceleration are pretty easy to use

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