GroupGhost
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Calculate the displacement in meters of a motorcycle that has a speed of 100 kilometers per hour if it has circulated for 50 minutes​

Sagot :

Murdrock

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.

semsee45

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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