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1 | P a g e Speed, Distance, Time Worksheet. Use * m/s, km/h, or mph. Calculate Speed R̅= 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.
Define distance and displacement, and distinguish between the two; Solve problems involving distance and displacement
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!
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.
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.
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} $
The Distance Formula Date_____ Period____ Find the distance between each pair of points. 1) (7, 3), ... −1.9) 24) (−7.487 , 1.8), (−3.1 , −1.2) 25) (7, 5 3), (−6 7, − 3) 26) (6, −6 5 ... 28) (2, −7 3), (4 2, 8 3) 3 77-2-Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com ...
