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Choose the correct statement....

Choose the correct statement.

A

Unit of acceleration is m `s^(-2)`.

B

Speed = distance/time.

C

Magnitude of displacement made by a body is less than or equal to the distance travelled by the body.

D

All of the above

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Choose the correct statement," we will analyze each option provided and determine their correctness step by step. ### Step-by-Step Solution: 1. **Evaluate Option 1: Unit of Acceleration** - Acceleration is defined as the change in velocity over time. The formula for acceleration (a) is: \[ a = \frac{\Delta v}{\Delta t} \] - The unit of velocity (v) is meters per second (m/s), and the unit of time (t) is seconds (s). - Therefore, the unit of acceleration can be derived as: \[ \text{Unit of acceleration} = \frac{\text{Unit of velocity}}{\text{Unit of time}} = \frac{m/s}{s} = m/s^2 \] - Thus, **Option 1 is correct**: The unit of acceleration is meter per second squared (m/s²). 2. **Evaluate Option 2: Speed Equals Distance Upon Time** - Speed (s) is defined as the distance (d) traveled divided by the time (t) taken. The formula for speed is: \[ s = \frac{d}{t} \] - The unit of distance is meters (m), and the unit of time is seconds (s). - Therefore, the unit of speed is: \[ \text{Unit of speed} = \frac{\text{Unit of distance}}{\text{Unit of time}} = \frac{m}{s} \] - Thus, **Option 2 is correct**: Speed is equal to distance divided by time. 3. **Evaluate Option 3: Magnitude of Displacement** - Displacement is a vector quantity that refers to the shortest distance from the initial position to the final position. The distance traveled can be greater than or equal to the displacement. - Therefore, the statement "the magnitude of displacement made by a body is less than or equal to the distance traveled by the body" is true. - Thus, **Option 3 is correct**: The magnitude of displacement is less than or equal to the distance traveled. 4. **Evaluate Option 4: All of the Above** - Since we have established that all previous options (1, 2, and 3) are correct, it follows that: - **Option 4 is correct**: All of the above statements are correct. ### Final Conclusion: All options (1, 2, 3, and 4) are correct. Therefore, the correct answer is **Option 4: All of the above**. ---

To solve the question "Choose the correct statement," we will analyze each option provided and determine their correctness step by step. ### Step-by-Step Solution: 1. **Evaluate Option 1: Unit of Acceleration** - Acceleration is defined as the change in velocity over time. The formula for acceleration (a) is: \[ a = \frac{\Delta v}{\Delta t} ...
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