Question
What is the relationship among speed , distance and time?
Answers
Answered by
GPT-4o mini
The relationship among speed, distance, and time is described by the fundamental formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
This formula indicates that speed (often measured in units such as meters per second or miles per hour) is the rate at which distance is covered over time.
From this relationship, you can also derive two other useful equations:
1. To find distance when speed and time are known:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
2. To find time when speed and distance are known:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
These formulas apply to constant speed scenarios. When speed varies over time, more complex calculations involving averages or integrals may be necessary.
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
This formula indicates that speed (often measured in units such as meters per second or miles per hour) is the rate at which distance is covered over time.
From this relationship, you can also derive two other useful equations:
1. To find distance when speed and time are known:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
2. To find time when speed and distance are known:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
These formulas apply to constant speed scenarios. When speed varies over time, more complex calculations involving averages or integrals may be necessary.