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a hiker walks 53.1 degrees N of E for 2.5 km then due to east for 2 km. compute total displacement

Sagot :

Indrawboyidn

Total displacement = 4.032 km

Further explanation

Displacement is a vector quantity that shows changes in the position of objects in a certain interval of time. Displacement has magnitude and direction

Can be simplified displacement = distanced traveled from starting point to ending point

A hiker walks 53.1 degrees N of E for 2.5 km then due to east for 2 km. compute total displacement

we describe the components according to the x-axis and the y-axis and we find the total displacement of the hiker with the phytagorean formula

x-axis component

2.5 cos 53.1 + 2 km = 3,501 km

y-axis component

2.5 sin 53.1 = 1999

So the total displacement:

[tex]\rm D=\sqrt{1.999^2+3.501^2}\\\\D=\boxed{\bold{4.032~km}}[/tex]

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