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Cleck up the onlycorrect statements in t...

Cleck up the onlycorrect statements in the following :

A

A body having a constant velocty still can have varying speed.

B

A body having a constant speed can have varying velocity.

C

A body having constant speed can have an acceleration.

D

If body having accleration are in the same direction, then distance is equal to displacement.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to evaluate each statement provided and determine which ones are correct. Let's analyze each statement step by step. ### Step-by-Step Solution: 1. **Statement 1: A body having a constant velocity still can have a varying speed.** - **Analysis**: Velocity is a vector quantity that includes both magnitude and direction. If a body has a constant velocity, it means both the magnitude and direction are constant. If the speed (magnitude of velocity) varies, then the velocity itself cannot be constant. Therefore, this statement is **incorrect**. 2. **Statement 2: A body having a constant speed can have a varying velocity.** - **Analysis**: A body can indeed have a constant speed while changing direction. A prime example of this is uniform circular motion, where the speed remains constant but the direction of the velocity vector changes continuously. Thus, this statement is **correct**. 3. **Statement 3: A body having constant speed can have acceleration.** - **Analysis**: In uniform circular motion, a body can maintain a constant speed while experiencing acceleration due to the change in direction. The acceleration is directed towards the center of the circular path (centripetal acceleration). Therefore, this statement is **correct**. 4. **Statement 4: If a body having acceleration is in the same direction, then distance is equal to displacement.** - **Analysis**: If a body accelerates in the same direction without changing direction, it moves in a straight line. In such cases, the distance traveled will be equal to the displacement since both are measured in the same direction. Hence, this statement is **correct**. ### Conclusion: The correct statements are **2, 3, and 4**.

To solve the problem, we need to evaluate each statement provided and determine which ones are correct. Let's analyze each statement step by step. ### Step-by-Step Solution: 1. **Statement 1: A body having a constant velocity still can have a varying speed.** - **Analysis**: Velocity is a vector quantity that includes both magnitude and direction. If a body has a constant velocity, it means both the magnitude and direction are constant. If the speed (magnitude of velocity) varies, then the velocity itself cannot be constant. Therefore, this statement is **incorrect**. 2. **Statement 2: A body having a constant speed can have a varying velocity.** ...
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