Motion in One dimension

Velocity

The speed of an object in a specific direction.

Acceleration

The rate of change of velocity over time.

Uniform Motion

Motion where velocity is constant, covering the same distance for every time interval, and acceleration is zero.

Uniformly Accelerated Motion

Motion where velocity is changing, distance covered is increasing or decreasing for every time interval, and acceleration is constant.

Equation for final velocity in uniformly accelerated motion

𝒗𝒇= 𝝂𝒊 + 𝒂 𝒕.

Equation for distance in uniformly accelerated motion using average velocity

𝒅 =(𝒗𝒇 + 𝒗𝒊/𝟐) 𝒕.

Equation for finding final velocity squared in uniformly accelerated motion

𝒗𝒇²= 𝒗𝒊² + 𝟐𝒂𝒅.

Equation for distance in uniformly accelerated motion using initial velocity and time

𝒅 = 𝒗𝒊•𝒕 +𝟏/𝟐 (𝒂𝒕²).

interpretation when velocity is rightward and acceleration is rightward

speed up to the right

interpretation when velocity is leftward and acceleration is rightward

Slow down to the left

interpretation when velocity is leftward and acceleration is leftward

Speed up to the left

Interpretation when velocity is rightward and acceleration is leftward

Slow down to the right