Question:

An aeroplane is moving in a circular path with a speed of 450 Kmph. What is the change in velocity in half revolution?

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Change in speed is 0, but change in velocity is $2v$ for a $180^{\circ}$ turn.
  • 0 Kmph
  • 450 Kmph
  • 250 Kmph
  • 900 Kmph
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The Correct Option is D

Solution and Explanation


Step 1: Concept

Velocity is a vector quantity. In a half revolution, the direction of motion becomes exactly opposite to the initial direction.

Step 2: Meaning

Let the initial velocity be $\vec{v}$. After half a revolution, the velocity is $-\vec{v}$.

Step 3: Analysis

Change in velocity $\Delta \vec{v} = \vec{v}_f - \vec{v}_i = (-\vec{v}) - (\vec{v}) = -2\vec{v}$. The magnitude of the change is $2 \times 450 = 900$ Kmph.

Step 4: Conclusion

The change in velocity is 900 Kmph.
Final Answer: (D)
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