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Q.

Starting from A, Paheli moves along a rectangular path ABCD as shown in the figure. She takes 2 min to travel to each side. State whether the motion is uniform or non-uniform. Which of the following options is correct?


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a

Uniform motion

b

Non-uniform motion

c

Circular motion

d

None  

answer is B.

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Detailed Solution

The motion is non-uniform.
We will draw a graph for this. The x-axis shows time in minutes, while the y-axis depicts distance in meters. Paheli begins at point A and travels to point B in 2 minutes, covering an 8-meter distance. We highlight point (A) 2 minutes on the axis and point (C) on the y-axis, then draw a line parallel to the y-axis and then another parallel to the x-axis. The two-line interest will be denoted as pt (B). Connect the pt(B) with pt (O). This line indicates a one-sided graph.
Similarly, we do the same on each side.
Paheli's speed as she moves beside AB is (distance/time) =82 m/min = 4  m/min.
The unit used here is meter/minute.
The speed across BC is =6/2
⇒      = 3  m/min
Speed across CD is = 8/2
⇒          = 4  m/min
Speed across DA is = 6/2
⇒           = 3  m/min
Thus, we observed that Paheli’s speed is not the same in the whole journey.
Hence, Motion is non-uniform.
 
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Starting from A, Paheli moves along a rectangular path ABCD as shown in the figure. She takes 2 min to travel to each side. State whether the motion is uniform or non-uniform. Which of the following options is correct?