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.

I and II only

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I and III only

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I only

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III only

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II and II only

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Solution

The correct option is B I only
Acceleration is the rate of change of speed of the object. Thus when acceleration is zero, the speed of object remains constant.

Acceleration of an object moving in a circular path is $\frac{v^{2}}{R}$ . Thus an object with constant acceleration may not move in a straight line.

Again in case of circular path, the speed remains same, but acceleration is finite.

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Similar questions

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.

Q. If the net unbalanced external force acting on an object is zero, then the
(A) Velocity of the object may or may not be zero
(B) Acceleration of the object must be zero
(C) Velocity of the object must be non-zero
(D) Acceleration of the object must be a non-zero constant
Choose the correct option:

An object moves with non-uniform acceleration. Then it have

1. Variable velocity and constant speed

2.Constant speed and velocity

3.Variable speed and constant velocity

4.Zero instantaneous velocity and non-zero speed

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.

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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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.

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.