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Which of the following situations are not possible?
- a)A body moving horizontally with an acceleration in vertical direction
- b)A body moving with a constant velocity in an accelerated motion
- c)A body moving with constant acceleration but with zero velocity.
- d)all of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Which of the following situations are not possible?a)A body moving hor...
A body moving horizontally with acceleration in vertical direction. A body moving with constant acceleration but zero velocity but a body moving with a constant velocity will not have accelerated motion.
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Which of the following situations are not possible?a)A body moving hor...
Situation B: A body moving with a constant velocity in an accelerated motion
When analyzing the given situations, we can determine that situation B is not possible. This is because a body cannot have a constant velocity while undergoing acceleration. Here's a detailed explanation:
Definition of Velocity and Acceleration:
- Velocity: Velocity is the rate of change of displacement with respect to time. It is a vector quantity that includes both magnitude (speed) and direction.
- Acceleration: Acceleration is the rate of change of velocity with respect to time. It is also a vector quantity and is defined as the change in velocity divided by the time taken for that change.
Understanding Situation B:
In situation B, the body is described as moving with a constant velocity in an accelerated motion. This implies that the body is experiencing a change in velocity (acceleration) while maintaining a constant velocity. However, this is contradictory as acceleration is the rate of change of velocity. If the velocity of a body is constant, it means there is no change in velocity, hence no acceleration.
Mathematical Explanation:
Let's assume that the body has an initial velocity of 'u' and a constant velocity of 'v' in situation B. If the body is under acceleration, it must experience a change in velocity. Mathematically, acceleration can be calculated as:
Acceleration (a) = (Change in velocity)/(Time taken)
a = (v - u)/t
Since the body is moving with a constant velocity, the change in velocity (v - u) will be zero, resulting in zero acceleration (a = 0). Therefore, situation B is not possible as it violates the fundamental relationship between velocity and acceleration.
Conclusion:
In conclusion, a body cannot have a constant velocity while undergoing acceleration. This contradicts the definition of acceleration and violates the fundamental principles of motion. Therefore, situation B is not possible.
When analyzing the given situations, we can determine that situation B is not possible. This is because a body cannot have a constant velocity while undergoing acceleration. Here's a detailed explanation:
Definition of Velocity and Acceleration:
- Velocity: Velocity is the rate of change of displacement with respect to time. It is a vector quantity that includes both magnitude (speed) and direction.
- Acceleration: Acceleration is the rate of change of velocity with respect to time. It is also a vector quantity and is defined as the change in velocity divided by the time taken for that change.
Understanding Situation B:
In situation B, the body is described as moving with a constant velocity in an accelerated motion. This implies that the body is experiencing a change in velocity (acceleration) while maintaining a constant velocity. However, this is contradictory as acceleration is the rate of change of velocity. If the velocity of a body is constant, it means there is no change in velocity, hence no acceleration.
Mathematical Explanation:
Let's assume that the body has an initial velocity of 'u' and a constant velocity of 'v' in situation B. If the body is under acceleration, it must experience a change in velocity. Mathematically, acceleration can be calculated as:
Acceleration (a) = (Change in velocity)/(Time taken)
a = (v - u)/t
Since the body is moving with a constant velocity, the change in velocity (v - u) will be zero, resulting in zero acceleration (a = 0). Therefore, situation B is not possible as it violates the fundamental relationship between velocity and acceleration.
Conclusion:
In conclusion, a body cannot have a constant velocity while undergoing acceleration. This contradicts the definition of acceleration and violates the fundamental principles of motion. Therefore, situation B is not possible.
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Which of the following situations are not possible?a)A body moving horizontally with an acceleration in vertical directionb)A body moving with a constant velocity in an accelerated motionc)A body moving with constant acceleration but with zero velocity.d)all of theseCorrect answer is option 'B'. Can you explain this answer?
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