Which of the following statements is false?

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

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

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

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

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Solution

The correct option is C
If speed is constant, then its velocity also must be constant.

If an object is at rest, its speed is zero. Also, the velocity of the body is zero.

The average velocity of a moving object can be zero if the displacement is zero. Whereas the average speed is not zero.

It is not necessary for velocity to be constant even if its speed is constant because speed just gives the magnitude but velocity also depends on the direction of motion. So, if a body is changing its direction without changing its speed, then its velocity will change.

If the velocity of an object is constant, then its magnitude i.e. speed is same every instant and the body is travelling in the same direction.

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Similar questions

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.

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.

Mark the correct statement(s)
(1) If speed of a body is varying, its velocity must be varying and it must have non-zero acceleration.

(2) If velocity of a body is varying, its speed must be varying.

(3) A body moving with varying velocity may have constant speed.

(4) A body moving with varying speed may have constant velocity, if its direction of motion remains constant.

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.

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