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  1. 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)

  2. Work Practice Problems Worksheet #1 ANSWER KEY 1) Amy uses 20N of force to push a lawn mower 10 meters. How much work does she do? Work = Force X Distance Work = 20N X 10m Work = 200 J 2) How much work does an elephant do while moving a circus wagon 20 meters with a pulling force of 200N? Work = Force X Distance Work = 200N X 20m Work = 4000 J

  3. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h. 15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught

  4. Force, Distance, and Work 1. What force acts on the object when it has been moved 4.0 m? 2. How far has the object been moved when the force on it is 200.0 N? 3. Explain the shape of the line on the graph. 4. Which formula is used to calculate work when a constant force is exerted on an object? 5.

  5. Distance on a Number Line Distance in the Coordinate Plane AB x 1 x 2 AB (= |x 1 - x 2 | or |x 2 - x 1 | Distance Formula: y 0 x B(x 2, y ) A(x1, y1) d = √ """""(x 2 - x 1)2 + (y 2 2- y 1) Use the number line to find AB. AB-= |(-4) - 2| 2= |- 6| = 6-5-4-3-2-1 0123 AB Find the distance between A(-2, -1) and B(1, 3). Distance Formula d = √ ...

  6. One way to teach this concept would be to pick an orbital distance from Mars and have the students calculate the distance of the path and the height from the surface both in SI units and in English units.

  7. 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.