<li><p>Kyle is flying a plane due north at 225 km/h as a wind carries it due east at 55 km/h. Find the magnitude and direction of the plane’s resultant velocity and analytically.</p></li>
<li><p>Sue and Jenny kick a soccer ball at exactly the same time. Sue’s foot exerts a force of 66 N north. Jenny’s foot exerts a force of 88 N east. What is the magnitude and direction of the resultant force on the ball?</p></li>
<li><p>Kym is in a boat traveling 3.8 m/s straight across a river 240 m wide. The river is flowing at 1.6 m/s.
a. What is Kym’s resultant velocity?
b. How long does it take Ky to cross the river?
c. How far is Kym downstream when she reaches the other side?</p></li>
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<li>Again, it's just addition of velocities aka tip-to-tail if you drew them out. Resultant is a hypotenuse again, so it's just sqrt(225^2+55^2) for the magnitude, and arctan(225/55) northeast for the direction. For direction, it's always arctan(y/x)</li>
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<li>Forces are vectors, so use the same procedures to get the answer as in #1</li>
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<li>(a)Again, sqrt(3.8^2+1.6^2)</li>
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<p>(b)240/3.8, as the river will have no effect on the vertical distance she travels, only the horizontal distance</p>
<p>(c) Use the answer you got in b and multiply that by 1.6</p>
<p>Thank you so very much!!! It is so thoughtful of you to take the time to type and explain it to me!!! Thanks a million!!!</p>