In May 1990 the French TGV train traveled the distance from Paris to Lille, France (127 miles) in 0.819 hours. What was the speed of the TGV in m/s

Respuesta :

Answer:

v=69.32 m/s

Explanation:

you have to transfer the distance from mile to meters (from miles to meters multiply by 1609)

so d=204387 m

you have to transfer the time from hour to second (from hour to second multiply by 3600)

so t=2948.4 s

the rule says v=d/t=204387/2948.4= 69.32 m/s

The TGV train has a speed of 69.306 meters per second.

Let suppose that TGV train is travelling at uniform velocity, then we can be calculated its speed by means of the following kinematic equation:

[tex]v = \frac{x}{t}[/tex] (1)

Where:

  • [tex]v[/tex] - Speed, in meters per second.
  • [tex]x[/tex] - Distance travelled by the train, in meters.
  • [tex]t[/tex] - Time, in seconds.

Now we proceed to convert both distance and time in terms of fundamental units:

Distance:

[tex]x = 127\,mi \times 1609\,\frac{m}{mi}[/tex]

[tex]x = 204343\,m[/tex]

Time:

[tex]t = 0.819\,h \times 3600\,\frac{s}{h}[/tex]

[tex]t = 2948.4\,s[/tex]

If we know that [tex]x = 204343\,m[/tex] and [tex]t = 2948.4\,s[/tex], then the speed of the TGV train is:

[tex]v = \frac{204343\,m}{2948.4\,s}[/tex]

[tex]v = 69.306\,\frac{m}{s}[/tex]

The TGV train has a speed of 69.306 meters per second.

We kindly invite you to check this question about kinematics: https://brainly.com/question/24468164

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