The formulas for calculating distance and time traveled can be derived from the definition of velocity as the rate of change of distance over time.
- Formula for calculating distance traveled: Distance = Velocity × Time
This formula states that the distance traveled is equal to the product of the velocity (speed with direction) and the time taken.
- Formula for calculating time traveled: Time = Distance / Velocity
This formula states that the time taken is equal to the ratio of the distance traveled to the velocity.
These formulas are based on the assumption of constant velocity, meaning that the speed and direction of motion remain constant throughout the journey. If the velocity is not constant or changes over time, more advanced equations of motion, such as those derived from calculus, would be required.