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A car travels 150 kilometers in 3.2 hours. What is the average velocity for the trip in meters per second.

Sagot :

VectorFundament120

Answer:

13.02 m/s

Explanation:

First, convert the units of kilometer and hours into meter and second. This can be done by multiplying 150 with 1000 since a kilometer equals 1000 meters. This’ll get us the new unit of 150,000 meters.

Then convert 3.2 hours to second by firstly multiplying 3.2 with 60. This’ll get us with 192 minutes since an hour equals 60 minutes. Then multiply 192 by another 60 because a minute equals to 60 seconds. You’ll obtain the new unit of 11520 seconds.

Next, we can now apply the basic velocity formula which is:

[tex]\displaystyle \vec v = \dfrac{\vec s}{t}[/tex]

Where [tex]\vec v[/tex] is velocity, [tex]\vec s[/tex] is displacement and [tex]t[/tex] is time. In this scenario, assume that the car travels in linear path - this means that the displacement equals to distance. Therefore, from the information we have, we can conclude that:

  • [tex]\vec s[/tex] = 150,000 meters
  • [tex]t[/tex] = 11520 seconds

Apply in the formula to find velocity:

[tex]\displaystyle {\vec v = \dfrac{150000}{11520}}\\\\\displaystyle{\vec v \approx 13.02 \ \, \sf{m/s}}[/tex]

Therefore, our velocity is approximately 13.02 m/s

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