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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. (B) describe and analyze motion in one dimension using equations with the concepts of distance, displacement, speed, average velocity, instantaneous velocity, and acceleration; (F) identify and describe motion relative to different frames of reference.

  3. 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!

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

  5. Distance = speed × time. d = s × t. Derivation of all the Formulas. d = refers to the distance traveled by body or object in meters (m) s = refers to the speed of the object or body in meter per second (m/s) t = refers to the time consumed by object or body to cover the distance in seconds (s) Solved Example on Distance Formula. Example 1.

  6. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

  7. To find distance formula to calculate the distance from a point to a line in 3D, consider a point P \((x_0, y_0, z_0)\) and a line (L) in 3D whose equation is \(\dfrac{x-x_1}{a}=\dfrac{y-y_1}{b}=\dfrac{z-z_1}{c}\). Then the distance (d) from the point P to L is, \(d=\dfrac{| \overline{PQ} \times \bar{s} |}{|\bar{s}|}\), where