Respuesta :

Answer:

Average velocity = 5.9 km/ hr (or 1.64 m/s).

Explanation:

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

It is a vector quantity and has an SI unit of m/s.

Displacement = [tex]\sqrt{x^{2} + y^{2} }[/tex]

x = 5 km east

y = 6 km north + 4 km north

  = 10 km north

So that,

Displacement = [tex]\sqrt{5^{2} + 10^{2} }[/tex]

                       = [tex]\sqrt{25 + 100}[/tex]

                       = [tex]\sqrt{125}[/tex]

                       = 11.1803

Displacement = 11.18 km = 11180 m

Time = 1.9 hr = 6840 seconds

Average velocity = [tex]\frac{11.180}{1.9}[/tex]

             = 5.8842

Average velocity = 5.9 km/ hr

The average velocity is 5.9 km/ hr (or 1.64 m/s).

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