Question:
In v-t graph, if graph cuts time axis what does it indicate?
In v-t graph, if graph cuts time axis what does it indicate?
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- Graph above time axis: Moving forward ($v>0$).
- Graph below time axis: Moving backward ($v<0$).
- Crossing time axis: Stopping and turning around.
- Graph below time axis: Moving backward ($v<0$).
- Crossing time axis: Stopping and turning around.
Updated On: Apr 21, 2026
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Solution and Explanation
Step 1: Understanding the Concept:
A velocity-time (\(v-t\)) graph plots velocity on the vertical y-axis and time on the horizontal x-axis.
Step 2: Key Formula or Approach:
Analyze the coordinates at the point of intersection. The time axis is defined by the equation \(v = 0\).
Step 3: Detailed Explanation:
1. Velocity is zero: Where the graph intersects or cuts the time axis (x-axis), the vertical coordinate (\(v\)) is exactly zero. This means that at that specific instant in time, the object has momentarily stopped moving.
2. Reversal of direction: If the graph "cuts" through the axis (crosses from one side to the other, rather than just touching and bouncing back), it means the sign of the velocity changes.
- For example, if the line goes from the positive \(v\) region to the negative \(v\) region, the object was moving in the positive direction, stopped momentarily, and then began moving in the negative direction.
- Therefore, cutting the time axis indicates a reversal in the direction of motion.
Step 4: Final Answer:
It indicates that the object comes to a momentary halt (\(v=0\)) and reverses its direction of motion.
A velocity-time (\(v-t\)) graph plots velocity on the vertical y-axis and time on the horizontal x-axis.
Step 2: Key Formula or Approach:
Analyze the coordinates at the point of intersection. The time axis is defined by the equation \(v = 0\).
Step 3: Detailed Explanation:
1. Velocity is zero: Where the graph intersects or cuts the time axis (x-axis), the vertical coordinate (\(v\)) is exactly zero. This means that at that specific instant in time, the object has momentarily stopped moving.
2. Reversal of direction: If the graph "cuts" through the axis (crosses from one side to the other, rather than just touching and bouncing back), it means the sign of the velocity changes.
- For example, if the line goes from the positive \(v\) region to the negative \(v\) region, the object was moving in the positive direction, stopped momentarily, and then began moving in the negative direction.
- Therefore, cutting the time axis indicates a reversal in the direction of motion.
Step 4: Final Answer:
It indicates that the object comes to a momentary halt (\(v=0\)) and reverses its direction of motion.
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