( ii ) A body whose speed is constant(a) Must be accelerated(b) Might be accelerated(c) Has a constant velocity(d) Cannot be accelerated.
Question
( ii ) A body whose speed is constant
(a) Must be accelerated
(b) Might be accelerated
(c) Has a constant velocity
(d) Cannot be accelerated.
Solution
To analyze the question about a body whose speed is constant, we need to consider the definitions of speed, acceleration, and velocity in physics.
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Understanding Constant Speed:
- If a body is moving at a constant speed, it means that the magnitude of its velocity does not change over time.
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Acceleration:
- Acceleration is defined as the rate of change of velocity. If the speed is constant, the body is not accelerating in the context of a change in velocity.
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Options Analysis:
- (a) Must be accelerated: This is incorrect because constant speed indicates no change in magnitude.
- (b) Might be accelerated: This is somewhat ambiguous but can be ruled out in the context of just speed being constant, without changes in direction.
- (c) Has a constant velocity: While this is a true statement if there's no change in direction, it is also correct as the body maintains constant speed.
- (d) Cannot be accelerated: This is generally the most accurate statement in the context that if only speed is considered and not direction.
Summary
Given that a body moving at a constant speed does not experience a change in speed, the most accurate answer is (c) "Has a constant velocity." It's also worth considering that if there were any changes in direction, then the body would still maintain constant speed but could be accelerating in terms of velocity direction. However, under typical understanding with no additional context, (c) is most straightforward.
Final Answer
(c) Has a constant velocity.
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