Kinematic Equations

Intro

The 4 kinematic equations describe the 1D motion of an object under constant acceleration.

Variables

• Initial position: $x_0$
• Final position: $x_f$
• Initial velocity: $v_0$
• Final velocity: $v_f$
• Constant acceleration: $a$
• Time interval: $t$

Kinematic Equations

All equations assume constant acceleration along a straight line

Kinematic Equations for Motion of Particle Under Constant Acceleration

Equation	Information Given
$v_f=v_0+at$	Velocity as a function of time
$x_f=x_0+v_{0}t+\frac{1}{2}a{t}^2$	Position as a function of time
$x_f=x_0+\frac{v_0+v_f}{2}t$	Position as a function of velocity and time
$v_f^2=v_0^2+2a(x_f-x_0)$	Velocity as a function of position