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Sagot :
Hello..!
To calculate its displacement, we first apply the data to the problem.
Data:
- V = 100km/h
- T = 50min
- D = ?
Now, we apply a conversion.
Conversion:
- 100km/h • (1000m/1km) • (1h/3600s)
- V = 27.7m/s
- 50min • (60s / 1min)
- T = 3000s
Then, we apply the formula that is.
Formula:
- D = V • T
Finally we develop the problem.
Developing:
- D = (27.7m/s) • (3000s)
- D = 83100m
The displacement of the bike is 83100 meters.
Answer:
83,333.33 m (2 d.p.)
Explanation:
[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]
Given values:
- Speed = 100 k/h
- Time = 50 minutes
As there are 60 minutes in one hour, convert minutes into hours by dividing by 60:
[tex]\implies \sf Time=\dfrac{50}{60}=\dfrac{5}{6}\;hour[/tex]
Substitute the values into the formula and solve for distance:
[tex]\implies \sf 100=\dfrac{Distance}{\frac{5}{6}}[/tex]
[tex]\implies \sf 100=Distance \times \dfrac{6}{5}[/tex]
[tex]\implies \sf Distance=\dfrac{100 \times 5}{6}[/tex]
[tex]\implies \sf Distance=\dfrac{250}{3}\;km[/tex]
[tex]\implies \sf Distance=83.33333...\;km[/tex]
At there are 1000 meters in one kilometer, convert kilometers into meters by multiplying by 1000:
[tex]\implies \sf Distance=83.33333...\times 1000=83333.33\;m\;(2\;d.p.)[/tex]
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