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sashaice [31]
3 years ago
9

A cruise ship is traveling south going approximately 22 mph when it hits the Gulf Stream flowing east at 4 mph. Which expression

would find the resultant velocity?
a) sqrt(22^2 + 4^2)
b) sqrt(22^2 - 4^2)
c) 22^2 - 4^2
d) 4(22)
Mathematics
1 answer:
alexira [117]3 years ago
4 0
<h2>Hello!</h2>

The answer is:

The correct option is

a) Resultant=\sqrt{22^{2} +4^{2} }

<h2>Why?</h2>

Since a right triangle is formed, we can calculate the resultant force using the Pythagorean Theorem which states that:

c=\sqrt{a^{2}+b^{2}}

Where,

c, is the hypothenuse.

a, is one triangle leg.

b, is the other triangle leg.

So, we are given the information:

a=22mph

b=4mph

So, calculating the resultant force (hypothenuse), we have:

Resultant=\sqrt{22^{2} +4^{2} }

Hence, the expression that would find the result velocity is:

a) [tex]Resultant=\sqrt{22^{2} +4^{2} }[/tex]

Have a nice day!

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