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  1. 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.

  2. Define distance and displacement, and distinguish between the two; Solve problems involving distance and displacement

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

  4. 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.

  5. 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)

  6. Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

  7. To find the distance between two points ($$x_1, y_1$$) and ($$x_2, y_2$$), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below. The distance formula is $ \text{ Distance } = \sqrt{(x_2 -x_1)^2 + (y_2- y_1)^2} $

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