Answer:
In the relationship between distance in kilometers and the number of hours, the constant of proportionality depends on the speed at which an object is traveling. Here are two examples of constant of proportionality:
Constant Speed: If an object is traveling at a constant speed (e.g., 100 kilometers per hour), then the constant of proportionality is the speed itself. In this case, the relationship can be expressed as:
Distance (in kilometers) = Speed (in kilometers per hour) × Time (in hours)
The constant of proportionality here is the speed, which remains constant.
Constant Velocity: If an object is traveling with constant velocity, which includes both speed and direction, then the constant of proportionality involves both the speed and the direction of travel. For example, if an object is moving at a velocity of 100 kilometers per hour to the north, the relationship can be expressed as:
Displacement (in kilometers) = Velocity (in kilometers per hour and direction) × Time (in hours)
In this case, the constant of proportionality involves both the magnitude (speed) and the direction (northward) of the velocity, which together determine the displacement.
These constants of proportionality are essential in understanding how distance, speed, and time are related in various motion scenarios.
Explanation: