Which of the following routes has the greatest acceleration?

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answer is A.

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Detailed Solution

Concept: If the graph of a straight line slope has a positive slope, it depicts acceleration and a negative slope, it depicts retardation, and the steeper the slope of the line, the greater the acceleration and vice versa.

The slope of the velocity-time graph represents the object's acceleration in motion. A straight line slope indicates that the acceleration is uniform, and if the graph has a positive slope, it depicts acceleration, while a negative slope depicts negative acceleration, i.e. retardation. The greater the acceleration, the steeper the slope of the line, and vice versa. Because only lines AB and CD exhibit acceleration, and AB has a steeper slope than CD, the route with the greatest acceleration is AB.

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