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Greyson lives 500 meters North of the highway I-287. The Harding Twp Library is 1800 meters South of highway I-287 on Sand Spring Road. If Greyson walks at a casual 1.4 m/s from the library to his house, how long would it take?

Respuesta :

Answer:

1642.86 seconds

Explanation:

Constant Speed Motion

If an object is moving in a constant direction and travels same distances x in same times t, it's speed is constant and can be computed as

[tex]\displaystyle v=\frac{x}{t}[/tex]

The time taken to travel x is computed by

[tex]\displaystyle t=\frac{x}{v}[/tex]

We know Greyson must walk 500 meters to reach the highway and then 1800 meters to reach The Harding Twp Library. The total distance is 2300 meters. It's done with a constant speed of 1.4 m/s, so the time taken to get there will be

[tex]\displaystyle t=\frac{2300}{1.4}=1642.86\ seconds[/tex]

It's equivalent to 1642.86/60, approximately 27 minutes of walk

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