The Euclidean distance between between two points with coordinates (x1, y1, z1) and (x2, y2, z2) is sqrt[(x1 -x2)2 + (y1 - y2)2 + (z1 - z2)2]
In 2-dimensional space, just drop the z terms.
Acceleration is the second derivative of the distance with respect to time. The rate of change of distance, with respect to time is the speed, and acceleration is the rate of change of speed with respect to time.
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Distance d=1/2 at2 is the formula.
If starting from rest, Distance = 1/2 (acceleration) x (time)2 . Otherwise, Distance = 1/2 (initial speed + final speed) x (time)
If the car begins with zero speed, thenDistance = 1/2 (acceleration) x (time)2
There are 3 formula 1. Final velocity = starting velocity + (acceleration)(time) 2. Final velocity^2 = starting velocity^2 + 2(acceleration)(distance) 3. Distance = (starting velocity)(time) + 1/2(acceleration)(time^2) Use whichever you can use.
velocity= distance/time=d/t accelaration= dv/dt