Question:medium

The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between \( t = 0 \) to \( t = 4s \)?
velocity-time graph of an object moving along a straight line

Show Hint

In velocity-time graphs, the distance covered is simply the area under the graph. Use the appropriate geometry (triangles, rectangles, trapezoids) to calculate the area.
Updated On: Jan 14, 2026
  • 13 m
  • 30 m
  • 11 m
  • 10 m
Show Solution

The Correct Option is A

Solution and Explanation

The distance an object travels is equivalent to the area beneath its velocity-time graph. This particular graph comprises both trapezoidal and rectangular sections. The total distance traveled is represented by the area under the graph between \( t = 0 \) and \( t = 4 \). Computation of this area from the graph yields: \[ \text{Distance} = \text{Area under the graph} = 13 \, \text{m} \]
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