Formulas for constant acceleration

In physics, particularly kinematics, the formulas for constant acceleration are a set of five equations that describe the motion of a particle that has a constant acceleration. The formulas can be derived from the instantaneous velocity given by the first derivative, and then mathematical integration yields the formulas.

The Formulas

In the following formulas, $v_f$ is the final velocity, $v_i$ is the initial velocity, $a$ is the acceleration, (which must be constant for the formulas to be valid), $\mathrm{\Delta }t$ is the duration of time, and $d$ is the displacement.

1) $v_f=v_i+a\mathrm{\Delta }t$

2) $v_f^2=v_i^2+2ad$

3) $d=\frac{1}{2}(v_f+v_i)\mathrm{\Delta }t$

4) $d=v_i\mathrm{\Delta }t+\frac{1}{2}a\mathrm{\Delta }{t}^2$

5) $d=v_f\mathrm{\Delta }t-\frac{1}{2}a\mathrm{\Delta }{t}^2$

See also

• acceleration
• kinematics
• proper acceleration

Footnotes

This article "Formulas for constant acceleration" is from Wikipedia. The list of its authors can be seen in its historical. Articles copied from Draft Namespace on Wikipedia could be seen on the Draft Namespace of Wikipedia and not main one.

📰 Article(s) of the same category(ies)

• Balanced force

---