# Acceleration and Deceleration

Acceleration is measured in velocity change per second, so miles per hour per second (mphps), feet per second per second (fpsps or fps/s) etc. Deceleration is negative acceleration, so I probably won't use that term from here on out and simply stitch with acceleration.

If you are starting from zero with an acceleration of 3 fps/s, your velocity will increase by 3 for every second from then on. So 0, 3, 6, 9, 12 etc.

There is one equation relating velocity(v) and acceleration(a):

*Use this equation for any problem with initial and final velocity, and acceleration.*

There are two equations for distance traveled (x) that involve acceleration(a). The first depends on time elapsed (t) and the second depends on a final velocity (). Both depend on an initial velocity ():

*Use this equation for problems with acceleration, distance, initial velocity, and time.*

and also this one, which is a solved differential equation relating velocity and acceleration:

here it is rearranged for distance travelled:

*Use this second equation for problems with acceleration, distance, initial velocity, and final velocity.*

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