The graph below shows the velocity versus time for an object moving in a straight line. At what time after t = 0 does the object again pass through its initial position?
Correct answer: B. Between 1 and 2 s
- A. 1 s
- B. Between 1 and 2 s
- C. 2 s
- D. Between 2 and 3 s
Explanation
The area under a velocity-time graph represents the displacement of the object. Initially, the object moves in a direction that creates a negative area between 0 and 1 second. To return to its initial position, the object must have an equal positive area under the curve, which occurs between 1 and 2 seconds. Therefore, the correct answer is Option B. Option A is incorrect because the displacement isn't zero at 1 second. Option C is incorrect because, by 2 seconds, the object has moved further due to continued velocity. Option D is incorrect because the object is even further displaced from the initial position by this time.
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