Calculate Car Speed: Step-by-Step Solution
This solution explains how to calculate the speed of a car given the distance covered and the time taken.
Given Information
- Distance ($d$) = 600 m
- Time ($t$) = 5 min
Convert Time Units
First, convert the time from minutes to seconds to match standard physics units.
- $t = 5 \text{ min} \times 60 \frac{\text{s}}{\text{min}} = 300 \text{ s}$
Calculate Speed in Meters per Second (m/s)
Use the formula for speed: Speed = Distance / Time.
- $s = \frac{d}{t}$
- $s = \frac{600 \text{ m}}{300 \text{ s}}$
- $s = 2 \text{ m/s}$
Convert Speed to Kilometers per Hour (km/h)
Convert the speed from m/s to km/h using the conversion factor $\frac{18}{5}$.
- $s_{\text{km/h}} = s_{\text{m/s}} \times \frac{18}{5}$
- $s_{\text{km/h}} = 2 \times \frac{18}{5}$
- $s_{\text{km/h}} = \frac{36}{5}$
- $s_{\text{km/h}} = 7.2 \text{ km/h}$
Therefore, the speed of the car is 7.2 km/h.
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Important Questions from Speed Time and Distance
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