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A bicyclist rides 11.2 kilometerseast and then 5.3 kilometers south.What is the magnitude of thebicyclist's resultant vector?

A Bicyclist Rides 112 Kilometerseast And Then 53 Kilometers SouthWhat Is The Magnitude Of Thebicyclists Resultant Vector class=

Answer :

GIVEN

The cyclist rides 11.2 kilometers east and then 5.3 kilometers south.

SOLUTION

The diagram is shown below:

The magnitude of the resultant can be calculated using the formula:

[tex]R=\sqrt{11.2^2+5.3^2}[/tex]

Solve the equation for R:

[tex]\begin{gathered} R=12.39 \\ R\approx12.4\text{ km} \end{gathered}[/tex]

Therefore, the resultant vector is 12.4 kilometers.

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