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A velocity-time graph for a particle shows three segments: OA (straight line rising from 0), AB (horizontal), and BC (straight line falling back to zero). If OA covers 0 to 10 m/s over 10 s, AB stays at 10 m/s for a period, and BC drops from 10 m/s to 0 m/s over 20 s, what are the accelerations (in m/s²) along OA, AB, and BC respectively?
- 1, 0, -0.5
- 1, 0, 0.5
- 1, 1, 0.5
- 1, 0.5, 0
Correct answer: 1, 0, -0.5
Solution
OA: slope = (10-0)/10 = 1 m/s². AB: horizontal, slope = 0. BC: slope = (0-10)/20 = -0.5 m/s². So the accelerations are 1, 0, -0.5 m/s².
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