A Car Has A Uniform Velocity Of $108 , \text{km/h}$. How Far Does It Travel In $\frac{1}{2}$ Minutes?A. 0.91 Km B. 9.1 Km C. 9 Km D. 9.5 Km

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Introduction

In physics, velocity is a fundamental concept that describes the rate of change of an object's position with respect to time. Uniform velocity, in particular, refers to a constant velocity that does not change over time. In this article, we will explore how to calculate the distance traveled by an object with a uniform velocity.

What is Uniform Velocity?

Uniform velocity is a constant velocity that does not change over time. It is a vector quantity, which means it has both magnitude (speed) and direction. In the context of this problem, the car has a uniform velocity of $108 , \text{km/h}$, which means it is traveling at a constant speed of $108 , \text{km/h}$ in a specific direction.

Calculating Distance Traveled

To calculate the distance traveled by an object with a uniform velocity, we can use the following formula:

d=vΓ—td = v \times t

where:

  • d$ is the distance traveled (in meters or kilometers)

  • v$ is the velocity (in meters per second or kilometers per hour)

  • t$ is the time (in seconds or minutes)

In this problem, we are given the velocity of the car as $108 , \text{km/h}$ and the time as $\frac{1}{2}$ minutes. We need to convert the velocity from kilometers per hour to meters per second and the time from minutes to seconds.

Converting Velocity from km/h to m/s

To convert the velocity from kilometers per hour to meters per second, we can use the following conversion factor:

1 km/h=1000 m3600 s=518 m/s1 \, \text{km/h} = \frac{1000 \, \text{m}}{3600 \, \text{s}} = \frac{5}{18} \, \text{m/s}

Therefore, we can convert the velocity of the car from kilometers per hour to meters per second as follows:

v=108 km/hΓ—518 m/s=30 m/sv = 108 \, \text{km/h} \times \frac{5}{18} \, \text{m/s} = 30 \, \text{m/s}

Converting Time from Minutes to Seconds

To convert the time from minutes to seconds, we can use the following conversion factor:

1 minute=60 seconds1 \, \text{minute} = 60 \, \text{seconds}

Therefore, we can convert the time of $\frac{1}{2}$ minutes to seconds as follows:

t=12 minuteΓ—60 s/min=30 st = \frac{1}{2} \, \text{minute} \times 60 \, \text{s/min} = 30 \, \text{s}

Calculating Distance Traveled

Now that we have converted the velocity to meters per second and the time to seconds, we can use the formula $d = v \times t$ to calculate the distance traveled by the car:

d=30 m/sΓ—30 s=900 md = 30 \, \text{m/s} \times 30 \, \text{s} = 900 \, \text{m}

To convert the distance from meters to kilometers, we can divide by 1000:

d=900 m1000=0.9 kmd = \frac{900 \, \text{m}}{1000} = 0.9 \, \text{km}

Conclusion

In this article, we have explored how to calculate the distance traveled by an object with a uniform velocity. We have used the formula $d = v \times t$ to calculate the distance traveled by a car with a uniform velocity of $108 , \text{km/h}$ over a time period of $\frac{1}{2}$ minutes. We have converted the velocity from kilometers per hour to meters per second and the time from minutes to seconds, and then used the formula to calculate the distance traveled. The result is $0.9 , \text{km}$, which is option A.

Answer

Introduction

In our previous article, we explored how to calculate the distance traveled by an object with a uniform velocity. We used the formula $d = v \times t$ to calculate the distance traveled by a car with a uniform velocity of $108 , \text{km/h}$ over a time period of $\frac{1}{2}$ minutes. In this article, we will answer some frequently asked questions related to this topic.

Q: What is uniform velocity?

A: Uniform velocity is a constant velocity that does not change over time. It is a vector quantity, which means it has both magnitude (speed) and direction.

Q: How do I calculate the distance traveled by an object with a uniform velocity?

A: To calculate the distance traveled by an object with a uniform velocity, you can use the formula $d = v \times t$, where $d$ is the distance traveled, $v$ is the velocity, and $t$ is the time.

Q: What is the formula for calculating distance traveled?

A: The formula for calculating distance traveled is $d = v \times t$.

Q: What is the unit of velocity?

A: The unit of velocity is meters per second (m/s) or kilometers per hour (km/h).

Q: What is the unit of time?

A: The unit of time is seconds (s) or minutes (min).

Q: How do I convert velocity from km/h to m/s?

A: To convert velocity from km/h to m/s, you can use the following conversion factor: $1 , \text{km/h} = \frac{5}{18} , \text{m/s}$.

Q: How do I convert time from minutes to seconds?

A: To convert time from minutes to seconds, you can use the following conversion factor: $1 , \text{minute} = 60 , \text{seconds}$.

Q: What is the distance traveled by a car with a uniform velocity of $108 , \text{km/h}$ over a time period of $\frac{1}{2}$ minutes?

A: To calculate the distance traveled by the car, we need to convert the velocity from kilometers per hour to meters per second and the time from minutes to seconds. We can then use the formula $d = v \times t$ to calculate the distance traveled. The result is $0.9 , \text{km}$.

Q: What is the correct answer?

A: The correct answer is A. 0.91 km.

Conclusion

In this article, we have answered some frequently asked questions related to calculating the distance traveled by an object with a uniform velocity. We have used the formula $d = v \times t$ to calculate the distance traveled by a car with a uniform velocity of $108 , \text{km/h}$ over a time period of $\frac{1}{2}$ minutes. We have also converted the velocity from kilometers per hour to meters per second and the time from minutes to seconds. The result is $0.9 , \text{km}$, which is option A.

Answer

The correct answer is A. 0.91 km.