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  1. When you describe distance, you only include the magnitude, the size or amount, of the distance traveled. However, when you describe the displacement, you take into account both the magnitude of the change in position and the direction of movement.

  2. Calculate Speed = P 1. A car travels a distance of 540km in 6 hours. Calculate the speed of the car. 2. John is a runner. He runs the 100m sprint in 20.0 s. Calculate the John’s speed. 3. Lauren walks 400 m in 125 s . Calculate Lauren’s average speed. 4. A mouse runs a distance of 2.0 metres in 16 seconds. Calculate the speed of the ...

  3. You have just derived the distance formula! Note that given any two points with coordinates (x1, y1) and (x2, y2), the distance, d (also called Euclidean distance), between them is given by the formula below. formula to compute the distance between the following points: 1. (1,1) and (3,7) 2. (-1,5) and (2,9)

  4. Distance is the length of the path taken by an object whereas displacement is the simply the distance between where the object started and where it ended up. For example, lets say you drive a car. You drive it 5 miles east and then 3 miles west.

  5. The distance formula allows you to calculate the distance (d) between two points, usually denoted as (x 1, y 1) and (x 2, y 2), and is expressed as: d = ((x 2 - x 1)² + (y 2 - y 1)²) In this formula: (x 1, y 1) are the coordinates of the first point. (x 2, y 2) are the coordinates of the second point. √ represents the square root operation.

  6. Using a one-dimensional number line to visualize and calculate distance and displacement. Created by Sal Khan.

  7. Worksheet by Kuta Software LLC. Kuta Software - Infinite Pre-Algebra. Name___________________________________. The Distance Formula. Date________________ Period____. Find the distance between each pair of points. 1) y. x.