Question

A particle covers an equal distance in equal intervals of time. It is said to be

• A. at rest
• B. moving with constant speed
• C. moving with constant acceleration
• D. moving with constant velocity

Answer 1

The correct option is B

moving with constant speed

Step 1: Explanation for the Incorrect answer

a) at rest

1. A particle covers an equal distance in an equal interval of time;
2. The object is said to be at rest if the position of the object does not change with respect to time
3. so, the object is in motion, not at rest
4. So, the statement which is given in option (a) is wrong.

c)moving with constant acceleration

1. If the particle is in motion then it will have some speed, velocity as well as acceleration.
2. The question didn't mention the object covering the equal distance in an equal interval of time in a particular direction.
3. Acceleration is defined as the ratio of change in velocity per time.
4. Velocity is a vector quantity, which depends on both magnitude and direction.
5. Hence, the acceleration is also a vector quantity.
6. In the Given question, it is not mentioned that the particle is moving in the same direction.
7. So, acceleration is not constant.

d)moving with constant velocity

1. Velocity is a vector quantity, which depends on both magnitude and direction.
2. If the direction of motion changes, then the velocity value gets changed
3. So, the velocity is not constant.
4. The statement given in option (d) is incorrect.

Step 2: Explanation for the correct answer.

b)moving with constant speed

1. Speed is defined as the ratio of distance traveled per time taken.
2. It is a scalar quantity. which only depends on the magnitude.
3. Even if the direction changes, the speed value will be constant.
4. So, the statement given in(b) is correct.

Hence,

Option (b) is correct.