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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. 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. Ask why failure to convert might be a problem.

  3. 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.

  4. Walk through deriving a general formula for the distance between two points. The distance between the points ( x 1, y 1) and ( x 2, y 2) is given by the following formula: ( x 2 − x 1) 2 + ( y 2 − y 1) 2. In this article, we're going to derive this formula!

  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.

  6. Use the distance formula (three times) to find the lengths of all three sides, and then use the Pythagorean theorem to determine whether the triangle is a right triangle. P Q = ‍ P R = ‍

  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} $