a student walks 144 m west, then turns around and walks 89 m east. if this takes place in a 7.5- minute interval, what is the students average velocity in meters per second? what is the students average speed?

Respuesta :

1) The average speed is 0.52 m/s

2) The average velocity is 0.12 m/s west

Explanation:

1)

The average speed of an object is defined as the total distance covered by the object divided by the time taken:

[tex]s=\frac{distance}{time}[/tex]

The distance is calculated regardless of the direction of motion. In this problem, the distance walks 144 m first, and then another 89 m, so the total distance covered is

d = 144+89 = 233 m

The time taken is

[tex]t= 7.5 min \cdot 60 = 450 s[/tex]

So, the average speed is

[tex]s=\frac{233}{450}=0.52 m/s[/tex]

2)

The average velocity is calculated as the ratio between the displacement of an object and the time taken:

[tex]v=\frac{displacement}{time}[/tex]

In this case, the students walks 144 m west first, and then 89 m east. The displacement is the distance in a straight line between the initial and final position: therefore, in this case, the displacement is

d = 144 (west) - 89 (east) = 55 m (west)

The time taken is

[tex]t= 7.5 min \cdot 60 = 450 s[/tex]

So, the average velocity is

[tex]v=\frac{55}{450}=0.12 m/s[/tex]

And the direction is west (the same as the displacement).

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