Direction: In the following questions, a statement of assertion (A) i...
The uniform motion only means that the object is moving at a constant speed but its direction of motion may be changing at in the case of uniform circular motion. Hence, acceleration is produced in uniform motion due to changes in velocity.
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Direction: In the following questions, a statement of assertion (A) i...
Assertion: An object may have acceleration even if it is moving with uniform velocity.
Reason: An object may be moving with uniform velocity but it may be changing its direction of motion.
Explanation:
Acceleration is defined as the rate of change of velocity. It can occur when an object changes its speed, its direction, or both.
Uniform Velocity:
Uniform velocity refers to the situation where an object is moving in a straight line with a constant speed. In this case, the object covers equal distances in equal intervals of time and its velocity remains constant throughout the motion.
Acceleration with Uniform Velocity:
Although an object moving with uniform velocity does not change its speed, it can still have acceleration if it changes its direction of motion. When an object changes its direction, its velocity vector changes even though the magnitude of velocity remains constant. This change in velocity vector results in acceleration.
Example:
Consider a car moving in a circular path at a constant speed. The car's velocity is constant because it covers equal distances in equal intervals of time. However, its velocity vector is continuously changing because the car is changing its direction. Therefore, the car has acceleration even though it is moving with uniform velocity.
Conclusion:
Based on the above explanation, we can conclude that both the assertion and reason are true. The object can have acceleration even if it is moving with uniform velocity because it may be changing its direction of motion. Thus, option (A) is the correct answer.
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