PLEASE ANSWER!!!!! A car traveled s kilometers in 6 hours with a speed of v kilometers per hour. Express the dependence of s on v. Using the formula, find: v for s=363

Respuesta :

In this question, the relations between velocity, distance and time are explored to first express the dependence of s on v, given the data in the exercise, and then to find the value of v for which s = 363.

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Relation between velocity, distance, and time:

We have that velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

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A car traveled s kilometers in 6 hours with a speed of v kilometers per hour.

This means that [tex]d = s, t = 6[/tex]

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Express the dependence of s on v.

Taking the above values of d and t, and the formula, we have that:

[tex]v = \frac{d}{t}[/tex]

[tex]v = \frac{s}{6}[/tex]

[tex]s = 6v[/tex]

Thus, the dependence of s on v can be expressed as: [tex]s = 6v[/tex]

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Using the formula, find: v for s=363

We have that:

[tex]s = 6v[/tex]

And thus

[tex]v = \frac{s}{6}[/tex]

Considering [tex]s = 363[/tex]:

[tex]v = \frac{363}{6} = 60.5[/tex]

Thus, for s = 363, v = 60.5.

For an example of a problem using this formula, you can check here: https://brainly.com/question/14307500

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