Which of the following statements is/are TRUE?
i) An object with constant velocity has always constant speed.
ii) An object with constant speed has always constant velocity.
iii) An object with zero velocity has always zero acceleration.
iv) An object with zero acceleration has always zero velocity
Answers
Answered by
4
Answer:
A is true
Explanation:
An object with constant velocity has always constant speed
Answered by
4
Answer:
The answer to this question is option (A), An object with constant velocity has always constant speed.
Explanation:
To answer this question let us discuss each option one by one.
Option (A): If we have an object with constant velocity then that means the speed of the object as well as direction of the object is constant. This means that it does have a constant speed.
Hence this option is correct.
Option (B): If an object has a constant speed then it may or may not have constant velocity because for an object to have constant velocity, direction must also remain constant. For example , Uniform Circular motion. Here if the object revolves around in circular motion with constant speed then it does not mean that it has constant velocity because in circular motion the direction of the object keeps changing.
Hence this option is incorrect.
Option (C): If an object has zero velocity then it might mean that at an instantaneous time t, It has a velocity 0 but if before it had a velocity v or after the time t it has a velocity v then the rate of change of velocity with respect to time is not zero hence Acceleration, which equals to rate of change of velocity, is not zero.
Hence This option is incorrect.
Option (D): If an object has zero acceleration then it means that the rate of change of velocity with respect to time is zero for that object. This means that it has a uniform velocity. This means that either it has a uniform velocity v where v may or may not be 0.
Hence Option (iv) is incorrect.
Therefore the correct option is (i).
The answer to this question is option (A), An object with constant velocity has always constant speed.
Explanation:
To answer this question let us discuss each option one by one.
Option (A): If we have an object with constant velocity then that means the speed of the object as well as direction of the object is constant. This means that it does have a constant speed.
Hence this option is correct.
Option (B): If an object has a constant speed then it may or may not have constant velocity because for an object to have constant velocity, direction must also remain constant. For example , Uniform Circular motion. Here if the object revolves around in circular motion with constant speed then it does not mean that it has constant velocity because in circular motion the direction of the object keeps changing.
Hence this option is incorrect.
Option (C): If an object has zero velocity then it might mean that at an instantaneous time t, It has a velocity 0 but if before it had a velocity v or after the time t it has a velocity v then the rate of change of velocity with respect to time is not zero hence Acceleration, which equals to rate of change of velocity, is not zero.
Hence This option is incorrect.
Option (D): If an object has zero acceleration then it means that the rate of change of velocity with respect to time is zero for that object. This means that it has a uniform velocity. This means that either it has a uniform velocity v where v may or may not be 0.
Hence Option (iv) is incorrect.
Therefore the correct option is (i).
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