Time, Velocity, and Distance Calculator

What is Time, Velocity, and Distance?

Time, velocity, and distance are fundamental concepts in physics that describe motion:

• Time (t): The duration over which motion occurs, typically measured in seconds (s) or hours (h).
• Velocity (v): The rate of change of position with respect to time, usually expressed in meters per second (m/s) or kilometers per hour (km/h).
• Distance (d): The total length of the path traveled by an object, measured in units such as meters (m) or kilometers (km).

Formula

The relationship between time, velocity, and distance is expressed by the following equation:

\[ d = v \times t \]

Where:

• \( d \) is the distance traveled
• \( v \) is the velocity (assumed constant in this simple case)
• \( t \) is the time taken

Calculation Steps

Let's calculate the distance traveled by a car moving at a constant velocity of 60 km/h for 2 hours:

1. Identify the known values:
   • Velocity (v) = 60 km/h
   • Time (t) = 2 h
2. Apply the distance formula: \[ d = v \times t \]
3. Substitute the known values: \[ d = 60 \text{ km/h} \times 2 \text{ h} \]
4. Perform the calculation: \[ d = 120 \text{ km} \]

Example and Visual Representation

Let's visualize the time, velocity, and distance relationship with our example:

This visual representation shows:

• The distance axis (horizontal), representing the total distance traveled by the car (120 km)
• The velocity axis (vertical), showing the constant speed of the car (60 km/h)
• The diagonal line, representing the time taken for the journey (2 hours)
• The area of the rectangle formed by these components represents the distance traveled

This graph illustrates how distance is the product of velocity and time, providing a clear visual interpretation of the formula \( d = v \times t \).