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A car is moving in a spiral starting from the origin with uniform angular velocity. What can be said about the instantaneous velocity?
  • a)
    It increases with time
  • b)
    It decreases with time
  • c)
    It remains constant
  • d)
    It does not depend on time
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A car is moving in a spiral starting from the origin with uniform angu...
This type of motion can be called circular motion with increasing radius. As the radius increases, the tangential velocity increases (v = rw). Now, as there is only one velocity present, the speed will be equal to the magnitude of the tangential velocity.
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Most Upvoted Answer
A car is moving in a spiral starting from the origin with uniform angu...
Explanation:

Uniform Circular Motion:
In this scenario, the car is moving in a spiral with uniform angular velocity. This means that the car is moving in a circular path at a constant rate.

Instantaneous Velocity:
Instantaneous velocity is the velocity of an object at a specific point in time. It is the rate at which the position of an object changes with respect to time at that particular moment.

Relationship between Instantaneous Velocity and Circular Motion:
- In circular motion, the velocity of an object is constantly changing as it moves around the circle.
- The direction of the velocity changes at every point on the circle.
- The magnitude of the velocity remains constant in uniform circular motion, but the direction changes continuously.

Conclusion:
- As the car moves in a spiral with uniform angular velocity, the instantaneous velocity will increase with time.
- This is because the car is continuously changing its direction as it moves along the spiral, causing the velocity to increase as it covers more distance in the same amount of time.
Therefore, the correct answer is option 'A' - It increases with time.
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A car is moving in a spiral starting from the origin with uniform angular velocity. What can be said about the instantaneous velocity?a)It increases with timeb)It decreases with timec)It remains constantd)It does not depend on timeCorrect answer is option 'A'. Can you explain this answer?
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