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KCET · Physics · Motion In One Dimension

For a body moving along a straight line, the following \(v\) - \(t\) graph is obtained.

According to the graph, the displacement during

  1. A uniform acceleration is greater than that during uniform motion
  2. B uniform acceleration is less than that during uniform motion
  3. C uniform acceleration is equal to that during uniform motion
  4. D uniform motion is zero
Verified Solution

Answer & Solution

Correct Answer

(B) uniform acceleration is less than that during uniform motion

Step-by-step Solution

Detailed explanation

Since, the area under \(v\) - \(t\) graph gives the displacement of object.
i.e., \(\quad s=\) Area of \(v\) - \(t\) graph
As area under uniform motion \(>\) Area under uniform acceleration
\(\therefore\) Displacement during uniform acceleration is less than that during uniform motion.