## Quick Reference

Equations relating to an object moving in a straight line with constant acceleration *a*. Let *u* be the initial velocity, *v* the final velocity, *t* the time of travel and *s* the displacement from the starting point. Then

*v* = *u* + *at*, *s* = *ut* + ½*at*^{2}, *s* = ½(*u* + *v*)*t*, *v*^{2} = *u*^{2} + 2*as*.

These equations may be applied to a particle falling under gravity near the Earth's surface. If the positive direction is taken to be downwards, then *a*=*g*. When a particle is projected vertically upwards from the ground, it may be appropriate to take the positive direction upwards, and then *a* =−*g*.

http://www.ac.wwu.edu/~vawter/PhysicsNet/QTMovies/Kinematic/EquationsMotionMain.html A visual illustration of the behaviour of bodies with constant position, constant speed, and constant acceleration for comparison.

**From:**
equations of motion with constant acceleration
in
The Concise Oxford Dictionary of Mathematics »

*Subjects:*
Mathematics.