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Which of the following velocity-time gra...

Which of the following velocity-time graphs shows a realistic situation for a body in motion ?

A

B

C

D

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The correct Answer is:
To determine which velocity-time graph shows a realistic situation for a body in motion, we need to analyze the characteristics of each graph. A realistic velocity-time graph must adhere to the following principles: 1. **Single Velocity at a Given Time**: At any specific moment in time, a body can only have one velocity. This means that for any given time \( t \), there should be only one corresponding velocity \( v \). 2. **Continuous Motion**: The graph should not depict any instantaneous jumps or discontinuities in velocity, as this would imply an unrealistic change in motion. Now, let's analyze the options step by step: ### Step 1: Analyze Each Graph - **Option A**: This graph shows multiple velocities at the same time \( t_1 \). For instance, at \( t_1 \), there are three different velocities \( v_1, v_2, \) and \( v_3 \). This violates the principle of having a single velocity at a given time. - **Option B**: This graph shows a continuous line where at each time \( t \), there is only one corresponding velocity. This adheres to the principle of having a single velocity at a given time, making it a realistic representation of motion. - **Option C**: Similar to Option A, this graph also shows multiple velocities at a single time point. Thus, it is not a realistic graph. - **Option D**: This graph also depicts multiple velocities at the same time, violating the same principle as Options A and C. ### Step 2: Conclusion After analyzing all the options, we can conclude that: - **Option B** is the only graph that shows a realistic situation for a body in motion, as it maintains the principle of having a single velocity at any given time. ### Final Answer **Option B** is the correct answer. ---
To determine which velocity-time graph shows a realistic situation for a body in motion, we need to analyze the characteristics of each graph. A realistic velocity-time graph must adhere to the following principles: 1. **Single Velocity at a Given Time**: At any specific moment in time, a body can only have one velocity. This means that for any given time \( t \), there should be only one corresponding velocity \( v \). 2. **Continuous Motion**: The graph should not depict any instantaneous jumps or discontinuities in velocity, as this would imply an unrealistic change in motion. Now, let's analyze the options step by step: ...
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