# Uniformly Accelerated Motion

Also found in: Medical.

## Uniformly Accelerated Motion

the motion of a point such that its tangential acceleration *w*_{τ} is constant; in the case of uniformly accelerated rectilinear motion, the point’s acceleration *w* is constant. The speed ν of the point *t* sec after uniform acceleration begins and the point’s distance *s* from its initial position—*s* being measured along the point’s path—are determined for uniformly accelerated motion by the equations

*ν = ν*_{0} + *w*_{τ}*t s* = *v*_{0}*t* + *w*_{τ}*t*^{2}/2

where ν_{0} is the initial speed of the point. When ν and w_{T} are of the *same sign*, acceleration occurs; when they are of opposite sign, deceleration occurs.

When a rigid body undergoes uniformly accelerated transla-tional motion, the above definitions apply to each point of the body. A body may also undergo uniformly accelerated rotation about a fixed axis; in this case, the body’s angular acceleration;ε is constant, and the angular speed ω and angular displacement ɸ of the body are

ω = ω_{0} + ∊ *t* ɸ = ω_{0}*t t +* ∊*t ^{2}/2*