S = v_it + 1/2 at²: The Equation of Linear Motion

The formula S = v_it + 1/2at² describes the motion of an object under constant acceleration. Here:

• S represents the displacement,
• v_i is the initial velocity,
• t is the time,
• a is the acceleration, and
• 1/2 at² is the additional displacement due to acceleration.

As stated, "An object in motion stays in motion unless acted upon by an external force."

Note: This equation was originally written in 1905.