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Choose the correct statement(s)....

Choose the correct statement(s).

A

Both speed and velocity have the same units.

B

If a body has a speed of 50 m `s^(-1)` in a straight line path, then its velocity is 180 km `h^(-1)`.

C

The speed of a vehicle is measured by a device called speedometer.

D

All of the above

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Choose the correct statement(s)", we will analyze each option provided in the question step by step. ### Step 1: Analyze Option 1 **Statement:** Both speed and velocity have the same units. - **Explanation:** Speed is defined as the distance traveled per unit of time, and its unit is meters per second (m/s). Velocity, which is a vector quantity, also has the same unit of meters per second (m/s). Therefore, this statement is **correct**. ### Step 2: Analyze Option 2 **Statement:** If a body has a speed of 50 meters per second in a straight line path then its velocity is 180 km per hour. - **Explanation:** In a straight line, speed and velocity are equal in magnitude. The speed given is 50 m/s. To convert this to kilometers per hour (km/h), we use the conversion factor: - 1 m/s = 3.6 km/h. Therefore, \[ 50 \, \text{m/s} \times 3.6 \, \text{km/h per m/s} = 180 \, \text{km/h}. \] This means that the velocity is indeed 180 km/h when converted correctly. Hence, this statement is **correct**. ### Step 3: Analyze Option 3 **Statement:** The speed of a vehicle is measured by a device called speedometer. - **Explanation:** A speedometer is a device used in vehicles to measure the speed at which the vehicle is traveling. This statement is also **correct**. ### Step 4: Analyze Option 4 **Statement:** All of the above. - **Explanation:** Since all the previous statements (1, 2, and 3) have been determined to be correct, this statement is also **correct**. ### Conclusion Based on the analysis of all options, the correct answer is: **All of the above (Option 4)**.

To solve the question "Choose the correct statement(s)", we will analyze each option provided in the question step by step. ### Step 1: Analyze Option 1 **Statement:** Both speed and velocity have the same units. - **Explanation:** Speed is defined as the distance traveled per unit of time, and its unit is meters per second (m/s). Velocity, which is a vector quantity, also has the same unit of meters per second (m/s). Therefore, this statement is **correct**. ### Step 2: Analyze Option 2 ...
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