What is the quantity which is measured by the area occupied below the velocity time graph?
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Quantity: A property that is measured [e.g. mass, length, time, volume, pressure]. Unit: A standard quantity against which a quantity is measured [e.g. gram, metre, second, litre, pascal; which are units of the above quantities].
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The area under the velocity time graph will give us the displacement of an object and the slope gives the acceleration. we should find the area under the graph , if the graph is irregular we need to split it into parts and finally add them and if the shape is not at all regular we should go for integration
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