A dog is running at a speed of 36 km/h - what distance will the dog cover in 15 seconds? - briefly
To determine the distance a dog running at 36 km/h covers in 15 seconds, we first convert the speed from km/h to m/s: ( 36 \text{ km/h} = 10 \text{ m/s} ). Then, multiply the speed by time: ( 10 \text{ m/s} \times 15 \text{ s} = 150 \text{ meters} ). The dog will cover a distance of 150 meters in 15 seconds.
A dog is running at a speed of 36 km/h - what distance will the dog cover in 15 seconds? - in detail
To determine the distance a dog covers while running at a speed of 36 km/h over a period of 15 seconds, we must first convert the speed from kilometers per hour (km/h) to meters per second (m/s), as this is the standard unit for measuring speed in such contexts.
Firstly, let's break down the conversion process:
- 1 kilometer (km) equals 1000 meters (m).
- 1 hour (h) contains 3600 seconds (s).
Therefore, to convert 36 km/h into m/s, we use the following calculation: [ \text{Speed in m/s} = \left( \frac{36 \, \text{km}}{1 \, \text{h}} \right) \times \left( \frac{1000 \, \text{m}}{1 \, \text{km}} \right) \times \left( \frac{1 \, \text{h}}{3600 \, \text{s}} \right) ] [ = 36 \times 1000 \times \frac{1}{3600} ] [ = 10 \, \text{m/s} ]
Now that we have the speed in meters per second, we can calculate the distance covered by the dog in 15 seconds. The formula for distance is: [ \text{Distance} = \text{Speed} \times \text{Time} ]
Substituting the known values into this formula, we get: [ \text{Distance} = 10 \, \text{m/s} \times 15 \, \text{s} ] [ = 150 \, \text{meters} ]
Hence, a dog running at a speed of 36 km/h will cover a distance of 150 meters in 15 seconds. This detailed calculation underscores the importance of unit conversion in accurately determining distances and speeds over different time intervals.