Area under velocity time graph represent_____________________?
Correct answer: B. displacement
- A. force
- B. displacement
- C. distance
- D. acceleration
Explanation
The area under a velocity-time graph is velocity multiplied by time, which gives displacement: displacement = ∫v dt. If velocity remains positive, its numerical value also equals distance, but the general graph quantity is signed displacement. The likely mistake is choosing distance without noticing that negative velocity can make the area negative.
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About Displacement and Velocity
Displacement is the directed change in position, while velocity is the rate of change of displacement and includes both magnitude and direction. The topic connects position-time and velocity-time graphs with average and instantaneous values, and distinguishes displacement from distance and velocity from speed.
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