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Question
The variation of quantity A with quantity B, plotted in figure describes the motion of a particle in a straight line.
- Quantity B may represent time.
- Quantity A is velocity if motion is uniform.
- Quantity A is displacement if motion is uniform.
- Quantity A is velocity if motion is uniformly accelerated.
Solution
a, c, d
Explanation:
When we are calculating the velocity of a displacement-time graph we have to take the slope similarly we have to take the slope of a velocity-time graph to calculate acceleration. When the slope is constant motion will be uniform.
When we are representing motion by a graph it may be displacement-time, velocity-time or acceleration-time hence. B may represent time. For uniform motion, the velocity-time graph should be a straight line parallel to the time axis. For uniform motion velocity is constant hence, the slope will be positive. Hence quantity A is displacement.
For uniformly accelerated motion slope will be positive and A will represent velocity.
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