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Match the following columns. |{:(,"Col...

Match the following columns.
`|{:(,"Column I",,"Column II"),((A),"Constant positive acceleration",(p),"Speed may increase"),((B),"Constant negative acceleration",(q),"Speed may decrease"),((C ),"Constant displacement",(r ),"Speed is zero"),((D),"Constant slope of a-t graph",(s),"Speed must increase"),(,,(t),"Speed must decrease"):}|`

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The correct Answer is:
To solve the problem of matching the columns, we need to analyze each item in Column I and determine its corresponding item in Column II based on the principles of motion in a plane. ### Step-by-Step Solution: 1. **Analyze Constant Positive Acceleration (A)**: - When there is constant positive acceleration, the speed of the object increases over time. - Therefore, we match A with (s) "Speed must increase". 2. **Analyze Constant Negative Acceleration (B)**: - Constant negative acceleration means the object is slowing down, which results in a decrease in speed. - Hence, we match B with (q) "Speed may decrease". 3. **Analyze Constant Displacement (C)**: - If there is constant displacement, it means the object is not moving at all, leading to a speed of zero. - Thus, we match C with (r) "Speed is zero". 4. **Analyze Constant Slope of a-t Graph (D)**: - A constant slope in an acceleration-time (a-t) graph indicates that the acceleration is either increasing or decreasing. This means the speed could either be increasing or decreasing. - Therefore, we match D with (p) "Speed may increase" and (q) "Speed must decrease". ### Final Matches: - A → s (Speed must increase) - B → q (Speed may decrease) - C → r (Speed is zero) - D → p and q (Speed may increase or Speed must decrease) ### Summary of Matches: - A - s - B - q - C - r - D - p and q
To solve the problem of matching the columns, we need to analyze each item in Column I and determine its corresponding item in Column II based on the principles of motion in a plane. ### Step-by-Step Solution: 1. **Analyze Constant Positive Acceleration (A)**: - When there is constant positive acceleration, the speed of the object increases over time. - Therefore, we match A with (s) "Speed must increase". ...
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