Question

Which of the following statements is/are TRUE (1)

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​

Answer 1

Answer:

Option(i)An object with constant velocity has always constant speed is  true.

Explanation:

• Having an item with constant velocity indicates that both its speed and direction are constant. This demonstrates that its speed is constant.

• Speed and direction are both components of velocity; if the velocity is constant, then both speed and direction must also be constant. So, option(i) is true.

• The magnitude of the velocity vector would change  if the speed changed, which indicates that the vector must also change. Since, option(ii) is false.

• If an object experiences zero acceleration, it signifies that its rate of change in velocity over time is also zero. It has a uniform velocity as a result. It either. Hence option (iv) is also false.

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Answer 2

Option i) is the correct answer

An object with constant velocity has always a constant speed.is a true statement

Explanation:

Let us discuss each option one by one.

Option (i): If we have an object with constant velocity then it means the speed of the object and the direction of the object is constant. so it can be termed as it does have a constant speed. Hence this option is correct.

Option (ii): If an object has a constant speed then in such condition it may or may not have a constant velocity

For an object to have a  constant velocity, the direction must also remain constant.

Hence this option is incorrect.

Option (iii): If an object has zero velocity then in such condition it might have an instantaneous time t.

It has a velocity 0 but to have 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 Thus the Acceleration, will be equal to the rate of change of velocity, is not zero.

Hence This option is incorrect.

Option (iv): 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.

It 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.

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