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A velocity-time graph is shown in the adjoining figure.Determine: 1. initial speed of the car 2. maximum speed attained by the car 3. part of the graph showing zero acceleration4. part of the graph showing constant retardation 5. distance travelled by the car in first 6 sec. |
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Answer» 1. Initial speed is at origin i.e. 0 m/s. 2. Maximum speed attained by car, vmax = speed from A to B = 20 m/s. 3. The part of the graph which shows zero acceleration is between t = 3 s and t = 6 s i.e., AB. This is because, during AB there is no change in velocity. 4. The graph shows constant retardation from t = 6 s to t = 8 s i.e., BC. 5. Distance travelled by car in first 6 s = Area of OABDO = A(△OAE) + A(rect. ABDE) = 1/2 × 3 × 20 + 3 × 20 = 30 + 60 ∴ Distance travelled by car in first 6 s = 90 m |
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