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19 November, 21:28

How to find the gradient of a velocity time graph

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  1. 19 November, 21:29
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    The area-

    The area under the line in a velocity-time graph represents the distance travelled. To find the distance travelled in the graph above, we need to find the area of the light-blue triangle and the dark-blue rectangle.

    Area of light-blue triangle -

    The width of the triangle is 4 seconds and the height is 8 meters per second. To find the area, you use the equation: area of triangle = 1⁄2 * base * height so the area of the light-blue triangle is 1⁄2 * 8 * 4 = 16m. Area of dark-blue rectangle The width of the rectangle is 6 seconds and the height is 8 meters per second. So the area is 8 * 6 = 48m. Area under the whole graph The area of the light-blue triangle plus the area of the dark-blue rectangle is:16 + 48 = 64m. This is the total area under the distance-time graph. This area represents the distance covered.
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