You can calculate average speed by dividing the total distance travelled by the total time of travel. To go from speed to velocity, you would also need to determine the vector (direction of travel).
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Average velocity is calculated by dividing the total displacement by the total time taken. It gives the overall velocity over a period of time, taking into account both the magnitude and direction of the motion. Mathematically, the formula for average velocity is: average velocity = (final position - initial position) / total time.
Average velocity can be calculated by dividing the displacement (change in position) by the time interval. The formula for average velocity is average velocity = (final position - initial position) / time interval.
The instantaneous velocity of a body represents its velocity at a particular instant in time, while the average velocity is calculated over a certain time interval. To find the instantaneous velocity from the average velocity, you can take the limit as the time interval approaches zero in the average velocity calculation. Mathematically, this can be represented as the derivative of the position function with respect to time.
Instantaneous velocity and average velocity are not the same. Instantaneous velocity is the velocity at a specific moment in time, while average velocity is the total displacement over a given time interval. In general, they will not have the same value unless the motion is at a constant velocity.
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The slope of a position-time graph represents the average velocity of an object. It does not represent the rate of change of velocity, which would be represented by the slope of a velocity-time graph.