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A particle is travelling with a constant...

A particle is travelling with a constant speed means

A

Its position remains constant as time passes

B

It covers equal distances in equal time intervals

C

Its acceleration is zero

D

It does not change its direction of motion.

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The correct Answer is:
To solve the question about a particle traveling with a constant speed, we can break down the concept step by step. ### Step-by-Step Solution: 1. **Understanding Constant Speed**: - Constant speed means that the speed of the particle does not change over time. This means that if the particle is moving at a speed of, say, 5 meters per second, it will continue to move at that speed for any time interval. **Hint**: Remember that constant speed implies no change in speed or velocity over time. 2. **Equal Distance in Equal Time**: - When a particle travels at a constant speed, it covers equal distances in equal time intervals. For example, if it travels 5 meters in the first second, it will also travel 5 meters in the second second, and so on. **Hint**: Think of it as a steady pace; if you walk at a constant speed, you cover the same distance every minute. 3. **Acceleration**: - Since the speed is constant, the acceleration of the particle is zero. Acceleration is defined as the rate of change of velocity. If the speed does not change, then the acceleration is zero. **Hint**: Recall that acceleration is only present when there is a change in speed or direction. 4. **Position Change**: - The particle is moving, so its position changes over time. It does not remain constant; rather, it continuously changes its position as it travels. **Hint**: A moving object will always change its position unless it is at rest. 5. **Direction of Motion**: - The particle can change its direction while maintaining a constant speed. However, if it changes direction, it is moving in a curved path, which means it could still have a constant speed but not constant velocity. **Hint**: Constant speed does not imply constant direction; think of a car going around a circular track at a steady speed. ### Conclusion: From the above analysis, we conclude that the correct interpretation of a particle traveling with a constant speed is that it covers equal distances in equal time intervals. Therefore, the correct answer to the question is: **Option B: It covers equal distance in equal time intervals.**
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