Choose the correct statement (s). (1) Speed and velocity both have same units. (2) If a body has a speed of \(50 \mathrm{~m} \mathrm{~s}^{-1}\) in a straight line path, then its velocity is \(180 \mathrm{~km} \mathrm{~h}^{-1}\) (3) Speed of a vehicle is measured by a device called speedometer. (4) All the above

Short Answer

Expert verified
A) Speed and velocity both have the same units. B) If a body has a speed of \(50 \mathrm{~m} \mathrm{~s}^{-1}\) in a straight line path, then its velocity is \(180 \mathrm{~km} \mathrm{~h}^{-1}\). C) Speed of a vehicle is measured by a device called speedometer. Answer: A) and C)

Step by step solution

01

Statement 1

Speed and velocity both have the same units. This statement is true. Speed and velocity both have the same units, which are distance per unit time, such as meters per second (m/s) or kilometers per hour (km/h).
02

Statement 2

If a body has a speed of \(50 \mathrm{~m} \mathrm{~s}^{-1}\) in a straight line path, then its velocity is \(180 \mathrm{~km} \mathrm{~h}^{-1}\). For this statement, we need to convert the given speed from m/s to km/h and compare it to the given velocity: 1. \(50 \mathrm{~m} \mathrm{~s}^{-1}\) in km/h: 2. We know that 1 km = 1000 m and 1 h = 3600 s. Therefore: \(1 \mathrm{~km} \mathrm{~h}^{-1} = \frac{1000 \mathrm{~m}}{3600 \mathrm{~s}} \Rightarrow 1 \mathrm{~m} \mathrm{~s}^{-1} = \frac{1 \mathrm{~km}}{3.6 \mathrm{~h}}\) 3. So, \(50 \mathrm{~m} \mathrm{~s}^{-1} = 50 \times \frac{1 \mathrm{~km}}{3.6 \mathrm{~h}} = \frac{50}{3.6} \mathrm{~km} \mathrm{~h}^{-1} \approx 13.89 \mathrm{~km} \mathrm{~h}^{-1}\) Since the converted speed of \(50 \mathrm{~m} \mathrm{~s}^{-1}\) is not equal to \(180 \mathrm{~km} \mathrm{~h}^{-1}\), this statement is false.
03

Statement 3

Speed of a vehicle is measured by a device called speedometer. This statement is true. A speedometer is a device used to measure the speed of a moving vehicle in real-time.
04

Conclusion

The correct statements among the given options are statement 1 and statement 3: (1) Speed and velocity both have the same units. (3) Speed of a vehicle is measured by a device called speedometer.

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