Speed via constant acceleration and time

If a body is moving with constant acceleration, its speed can be expressed as a linear function of time.

Conditions:

  1. Acceleration is constant, i.e. \(\frac{d a}{d t} = 0.\)

Links:

  1. Wikipedia, vector counterpart of this law.

final_speed

speed at time.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

time

time at which final_speed is measured.

Symbol:

t

Latex:

\(t\)

Dimension:

time

acceleration

Constant acceleration.

Symbol:

a

Latex:

\(a\)

Dimension:

acceleration

initial_speed

speed at \(t = 0\).

Symbol:

v_0

Latex:

\(v_{0}\)

Dimension:

velocity

law

v = v_0 + a * t

Latex:
\[v = v_{0} + a t\]