The nose of an ultralight plane is pointed south, and its airspeed indicator shows 27 m/s . The plane is in a 16 m/s wind blowing toward the southwest relative to the earth.  1) Letting x be east and y be north, find the components of Vp/E (the velocity of the plane relative to the earth). 2) Find the magnitude of Vp/E 3) Find the direction of Vp/E

QUESTION 2 Which of the following is an accurate statement? O A. It is possible to add a scalar quantity to a vector. O B. Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. OC. Rotating a vector about an axis passing through the tip of the vector does not change the vector. OD. The magnitude of a vector is independent of the coordinate system used. O E. The magnitude of a vector can be zero even though one of its components is not zero.

4. Swims across Lake Erie are officially sanctioned by the Lake Erie Open Water Swimming Association. Your friend on the swim team wants to swim across the lake. The plan is that your friend will swim to Presque Isle starting at a location at Long Point, Ontario which is 24 miles due north of Presque Isle. You will be navigating a boat with a GPS. Your friend can maintain a speed of 1.80 mph in still water. All during the swim you observe that objects drifting in the water are moving at 0.70 mph to the east due to the current. a. What bearing should you maintain? That is what direction should you point the boat to reach Presque Isle? Give your answer relative to a compass direction (i.e., 30° north of west). Hint, you want your net velocity vector to be straight south. b. How long did it take your friend to swim across Lake Erie? c. What is the addition amount of time that your friend will need to swim compared to if there was no current (assume your friend swims at a constant rate)?

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