Question

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

Answer 1

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 2

83,333.33 m (2 d.p.)

Step-by-step explanation:

`\boxed{\sf Speed=(Distance)/(Time)}`

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:

`\implies \sf Time=(50)/(60)=(5)/(6)\;hour`

Substitute the values into the formula and solve for distance:

`\implies \sf 100=(Distance)/((5)/(6))`

`\implies \sf 100=Distance * (6)/(5)`

`\implies \sf Distance=(100 * 5)/(6)`

`\implies \sf Distance=(250)/(3)\;km`

`\implies \sf Distance=83.33333...\;km`

At there are 1000 meters in one kilometer, convert kilometers into meters by multiplying by 1000:

`\implies \sf Distance=83.33333...* 1000=83333.33\;m\;(2\;d.p.)`