Distance and Displacement

Distance

Distance is the total length of path traveled by an object, regardless of the direction of motion. It is a scalar quantity and its SI unit is the metre (m).

Displacement

Displacement is the distance moved in a specified direction. It is a vector quantity that refers to the change in the position of an object from its starting point.

Drag the end points of the vectors to change the path.

Total Distance (A + B): 0 m
Resultant Displacement: 0 m

Speed, Velocity and Acceleration

Speed

šŸ“–
Speed is the distance traveled per unit of time.

Speed measures how fast an object changes its position over time, typically expressed as the distance traveled per unit of time. It is a scalar quantity, meaning it only has magnitude and no directional component.

The average speed of an object is defined as: $$v = \dfrac{\text{total distance}}{\text{total time taken}}$$ The SI unit for speed is metres per second (m/s).

Velocity

šŸ“–
Velocity is the rate of change of displacement.

Velocity is a vector quantity, encompassing both magnitude (speed) and direction. It depicts how fast an object travels in a particular direction.

In symbols: $$v = \dfrac{\Delta s}{\Delta t}$$ where $s$ is displacement.

Acceleration

šŸ“–
Acceleration is the rate of change of velocity.

Acceleration signifies how quickly an object's velocity changes over time, including changes in speed or direction.

In symbols: $$a = \dfrac{\Delta v}{\Delta t} = \dfrac{v - u}{t}$$ where $v$ is final velocity, $u$ is initial velocity, and $t$ is time.

Simulation: Constant Acceleration

Observe how initial velocity and acceleration affect the motion of the block.



t: 0.00s | v: 0.00 m/s | s: 0.00 m

Checking for Understanding