GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The distance travelled by an object
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The instantaneous speed of an object
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The acceleration of an object
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None of the above
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Detailed explanation-1: -A motion such as the one above further illustrates the important principle: the slope of the line on a velocity-time graph is equal to the acceleration of the object. This principle can be used for all velocity-time in order to determine the numerical value of the acceleration.
Detailed explanation-2: -The gradient of the line of the speed-time graph is the acceleration of the particle (for straight lines acceleration is constant). Gradient of line=change of velocitytime, =v−ut, =a.
Detailed explanation-3: -The gradient of speed-time and velocity-time graphs represent acceleration. The area under a speed-time graph represents the distance travelled. Likewise, the area under a velocity-time graph represents the displacement of the moving object.
Detailed explanation-4: -Thus, in a velocity-time graph, the slope would be slope = ∆ v ∆ t where is the change in velocity and is the change in time. We know that acceleration = change in velocity change in time = ∆ v ∆ t, which is the slope of a velocity-time graph.