Velocity & Distance

Demos Graph

I'm trying to work out some elementary math problems, but for some unknown reason I haven't been able to actually work on them, so I thought I would just do a simple math problem, just to get moving.

This problem is: How does velocity change with distance?

Start with old distance from time formula.

Set acceleration to 5 so we get a nice curve.

Old velocity from time formula

Solve the first formula for time

Substitute our new value for time into our velocity formula

Assign distance to x and that gives us the graph we have above.

If we view this graph as a car accelerating at a rate of a low 1/6 G, then by the time it has gone 80 feet (or six car lengths) it will be going pert near 30 MPH.