Which among the following statement is false-If average velocity is zero- then its average speed need not be zero-If speed is zero- then its velocity must also be zero-If speed is constant- then its velocity must also be constant-If velocity is constant- then its speed must also be constant-

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Byju's Answer

Standard IX

Physics

Speed vs. Velocity

Which among t...

Question

Which among the following statement is false?

If speed is zero, then its velocity must also be zero.

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If average velocity is zero, then its average speed need not be zero.

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If speed is constant, then its velocity must also be constant.

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If velocity is constant, then its speed must also be constant.

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Solution

The correct option is C If speed is constant, then its velocity must also be constant.
It is not necessary for velocity to be constant even if its speed is constant. If a body having constant speed is changing its direction, then the velocity of body is changing and not constant as velocity is a vector quantity and it depends on the direction of motion of body.
Example: Uniform circular motion

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Similar questions

Read each statement below carefully and state with reasons and examples, if it is true or false;
A particle in one-dimensional motion
a) with zero speed at an instant may have non-zero acceleration at that instant
b) with zero speed may have non-zero velocity,
c) with constant speed must have zero acceleration,
d) with positive value of acceleration must be speeding up.

Q. Read each statement below carefully and state with reasons and examples, if it is true or false:
A particle in one-dimensional motion
(a) with zero speed at an instant may have non-zero acceleration at that instant.
(b) with zero speed may have non-zero velocity.
(c) with constant speed must have zero acceleration.
(d) with positive value of acceleration must be speeding up.

Which of the following statement is false?

1. If speed is zero , it's velocity also must be zero.

2. if velocity is zero , then it's speed need not be zero

3. If speed is constant , then it's speed must be constant .

4. If velocity is constant , then it's speed must be constant.

Q. If the speed of an object is zero , its velocity must also be zero. Do you agree with this statement?

Which of the following statement must always be true?

I.If an objects acceleration is zero, then its speed must remain constant.

II. If an objects acceleration is constant, then it must move in a straight line.

III. If an objects speed remains constant, then its acceleration must be zero.

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