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Which of the following statements are true for a moving body?
- a)If its speed changes, its velocity must change and it must have some acceleration
- b)If its velocity changes, its speed must change and it must have some acceleration
- c)If its velocity changes, its speed may or may not change, and it must have some acceleration
- d)If its speed changes but direction of motion does not changes, its velocity may remain constant
Correct answer is option 'A,C'. Can you explain this answer?
Most Upvoted Answer
Which of the following statements are true for a moving body?a)If its ...
v=change in displacement/change in time and
a=change in velocity/change in time
Speed is the magnitude of velocity.
There can be a case where there is change in direction but not in magnitude.
a=change in velocity/change in time
Speed is the magnitude of velocity.
There can be a case where there is change in direction but not in magnitude.
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Which of the following statements are true for a moving body?a)If its ...
Explanation:
To understand the statements and determine which ones are true, let's break them down and analyze each one:
a) If its speed changes, its velocity must change and it must have some acceleration:
- Speed is a scalar quantity that represents the rate at which an object covers distance.
- Velocity, on the other hand, is a vector quantity that includes both speed and direction.
- If the speed of a moving body changes, it implies that either the magnitude of the velocity (speed) changes, or the direction of the velocity changes, or both.
- Therefore, in order for the speed to change, the velocity must change as well, indicating a change in either speed or direction. This change in velocity implies that the body is experiencing acceleration.
- Thus, statement a) is true.
b) If its velocity changes, its speed must change and it must have some acceleration:
- This statement is not necessarily true because velocity can change without any change in speed.
- Velocity depends on both speed and direction, so if only the direction changes while the magnitude of the velocity (speed) remains constant, the speed does not have to change.
- For example, if a car is moving in a circular path at a constant speed, its velocity is constantly changing due to the change in direction, but its speed remains constant.
- Therefore, statement b) is false.
c) If its velocity changes, its speed may or may not change, and it must have some acceleration:
- This statement is true. As explained earlier, velocity is a vector quantity that includes both speed and direction. If the direction of motion changes, the velocity changes even if the speed remains constant.
- On the other hand, if the speed changes, it implies a change in velocity as well. This change in velocity indicates that the body is experiencing acceleration.
- Thus, statement c) is true.
d) If its speed changes but the direction of motion does not change, its velocity may remain constant:
- This statement is true. Velocity is a vector quantity, and for it to remain constant, both the speed and direction must remain constant.
- If the speed changes but the direction of motion remains the same, the velocity can remain constant as long as the change in speed compensates for the change in the opposite direction.
- For example, if a car is moving forward at a constant velocity and then slows down, the speed changes but the direction remains the same, therefore the velocity can remain constant.
- Thus, statement d) is true.
To understand the statements and determine which ones are true, let's break them down and analyze each one:
a) If its speed changes, its velocity must change and it must have some acceleration:
- Speed is a scalar quantity that represents the rate at which an object covers distance.
- Velocity, on the other hand, is a vector quantity that includes both speed and direction.
- If the speed of a moving body changes, it implies that either the magnitude of the velocity (speed) changes, or the direction of the velocity changes, or both.
- Therefore, in order for the speed to change, the velocity must change as well, indicating a change in either speed or direction. This change in velocity implies that the body is experiencing acceleration.
- Thus, statement a) is true.
b) If its velocity changes, its speed must change and it must have some acceleration:
- This statement is not necessarily true because velocity can change without any change in speed.
- Velocity depends on both speed and direction, so if only the direction changes while the magnitude of the velocity (speed) remains constant, the speed does not have to change.
- For example, if a car is moving in a circular path at a constant speed, its velocity is constantly changing due to the change in direction, but its speed remains constant.
- Therefore, statement b) is false.
c) If its velocity changes, its speed may or may not change, and it must have some acceleration:
- This statement is true. As explained earlier, velocity is a vector quantity that includes both speed and direction. If the direction of motion changes, the velocity changes even if the speed remains constant.
- On the other hand, if the speed changes, it implies a change in velocity as well. This change in velocity indicates that the body is experiencing acceleration.
- Thus, statement c) is true.
d) If its speed changes but the direction of motion does not change, its velocity may remain constant:
- This statement is true. Velocity is a vector quantity, and for it to remain constant, both the speed and direction must remain constant.
- If the speed changes but the direction of motion remains the same, the velocity can remain constant as long as the change in speed compensates for the change in the opposite direction.
- For example, if a car is moving forward at a constant velocity and then slows down, the speed changes but the direction remains the same, therefore the velocity can remain constant.
- Thus, statement d) is true.
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Which of the following statements are true for a moving body?a)If its speed changes, its velocity must change and it must have some accelerationb)If its velocity changes, its speed must change and it must have some accelerationc)If its velocity changes, its speed may or may not change, and it must have some accelerationd)If its speed changes but direction of motion does not changes, its velocity may remain constantCorrect answer is option 'A,C'. Can you explain this answer?
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Which of the following statements are true for a moving body?a)If its speed changes, its velocity must change and it must have some accelerationb)If its velocity changes, its speed must change and it must have some accelerationc)If its velocity changes, its speed may or may not change, and it must have some accelerationd)If its speed changes but direction of motion does not changes, its velocity may remain constantCorrect answer is option 'A,C'. Can you explain this answer? for EmSAT Achieve 2025 is part of EmSAT Achieve preparation. The Question and answers have been prepared according to the EmSAT Achieve exam syllabus. Information about Which of the following statements are true for a moving body?a)If its speed changes, its velocity must change and it must have some accelerationb)If its velocity changes, its speed must change and it must have some accelerationc)If its velocity changes, its speed may or may not change, and it must have some accelerationd)If its speed changes but direction of motion does not changes, its velocity may remain constantCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for EmSAT Achieve 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements are true for a moving body?a)If its speed changes, its velocity must change and it must have some accelerationb)If its velocity changes, its speed must change and it must have some accelerationc)If its velocity changes, its speed may or may not change, and it must have some accelerationd)If its speed changes but direction of motion does not changes, its velocity may remain constantCorrect answer is option 'A,C'. Can you explain this answer?.
Which of the following statements are true for a moving body?a)If its speed changes, its velocity must change and it must have some accelerationb)If its velocity changes, its speed must change and it must have some accelerationc)If its velocity changes, its speed may or may not change, and it must have some accelerationd)If its speed changes but direction of motion does not changes, its velocity may remain constantCorrect answer is option 'A,C'. Can you explain this answer? for EmSAT Achieve 2025 is part of EmSAT Achieve preparation. The Question and answers have been prepared according to the EmSAT Achieve exam syllabus. Information about Which of the following statements are true for a moving body?a)If its speed changes, its velocity must change and it must have some accelerationb)If its velocity changes, its speed must change and it must have some accelerationc)If its velocity changes, its speed may or may not change, and it must have some accelerationd)If its speed changes but direction of motion does not changes, its velocity may remain constantCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for EmSAT Achieve 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements are true for a moving body?a)If its speed changes, its velocity must change and it must have some accelerationb)If its velocity changes, its speed must change and it must have some accelerationc)If its velocity changes, its speed may or may not change, and it must have some accelerationd)If its speed changes but direction of motion does not changes, its velocity may remain constantCorrect answer is option 'A,C'. Can you explain this answer?.
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