Calculating Distance Traveled by a Car at 45 km/h in 2 Minutes: A Comprehensive Guide

Welcome to this comprehensive guide on how to calculate the distance a car travels at 45 km/h in 2 minutes. Whether you're a student, a professional, or simply someone interested in understanding basic physics, this guide will provide you with the necessary steps and formulas to make these calculations accurately. This article covers the conversion from km/h to m/s, understanding the underlying physics, and practical examples to deepen your understanding.

Converting Speed from km/h to m/s

The first step in solving such problems is to convert the speed from kilometers per hour (km/h) to meters per second (m/s). Here's how you can do it:

Identify the speed in km/h: In this case, it's 45 the conversion factor: 1 km 1000 meters, and 1 hour 3600 the calculation: 45 km/h 45 * 1000 meters / 3600 the expression: 45 * 1000 / 3600 12.5 m/s.

Understanding the Distance Formula

The distance traveled can be calculated using the basic formula: Distance Speed × Time. Once we have the speed in the appropriate units, we can easily find the distance traveled for any given time.

Example 1: Distance Traveled in 3 Minutes

We already know the speed is 12.5 3 minutes to seconds: 3 minutes 3 * 60 seconds 180 the formula: Distance 12.5 m/s × 180 s 2250 the result for practical purposes: 2250 meters ≈ 2250 meters or 2.25 kilometers.

Example 2: Distance Traveled in 2 Minutes

Convert 2 minutes to hours: 2 minutes 2 / 60 hours 1/30 the formula: Distance 45 km/h × 1/30 h 1.5 the result: The car will cover 1.5 kilometers in 2 minutes.

Additional Examples and Scenarios

Example 3: Distance Traveled in 4 Seconds at 45 km/h

Convert 45 km/h to m/s as previously done: 45 km/h 12.5 the formula: Distance 12.5 m/s × 4 s 50 meters.

Example 4: Distance Traveled in 2 Minutes at 60 Steps per Hour

For a step-by-step scenario, consider the distance covered by walking at 60 steps per hour in 2 minutes. This is a simpler problem but it still involves unit conversion and understanding the basic formula.

Assume an average step length of 1 meter (for simplicity).Calculate the distance per hour: 60 steps/hour × 1 meter/step 60 2 minutes to hours: 2 minutes 2 / 60 hours 1/30 the formula: Distance 60 meters/hour × 1/30 hours 2 meters.

Conclusion

Understanding how to convert units and apply the distance formula is a fundamental skill in physics and everyday life. By following these steps, you can easily calculate the distance traveled by any moving object, whether it's a car, a pedestrian, or even the planets in our solar system! If you found this guide helpful, consider exploring more advanced topics in physics or engineering.