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Vector Homework.doc

By Gordon Duncan,2015-03-03 11:32
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    1. A plane can travel with a speed of 80 mi/hr with respect to the air. Determine the resultant velocity of the plane (magnitude only) if it encounters a

    a. 10 mi/hr headwind.

b. 10 mi/hr tailwind.

c. 10 mi/hr crosswind. (Draw the Vectors)

d. 60 mi/hr crosswind. (Draw the Vectors)

    2. A motor boat traveling 5 m/s, East encounters a current traveling 2.5 m/s, North. a. What is the resultant velocity of the motor boat?

    b. If the width of the river is 80 meters wide, then how much time does it take the boat to travel shore to shore?

c. What distance downstream does the boat reach the opposite shore?

     4. A motor boat traveling 6 m/s, East encounters a current traveling 3.8 m/s, South. a. What is the resultant velocity of the motor boat?

    b. If the width of the river is 120 meters wide, then how much time does it take the boat to travel shore to shore?

c. What distance downstream does the boat reach the opposite shore?

    5. If the current velocity in question #4 were increased to 5 m/s, then a. how much time would be required to cross the same 120-m wide river?

b. what distance downstream would the boat travel during this time?

    6. A motor boat traveling 4 m/s, East encounters a current traveling 3.0 m/s, North. a. What is the resultant velocity of the motor boat?

    b. If the width of the river is 80 meters wide, then how much time does it take the boat to

    travel shore to shore?

c. What distance downstream does the boat reach the opposite shore?

7

7. Consider these diagrams in answering the following questions.

Which diagram (if any) might represent ... (the answer can be none of the above or multiple)

    a. ... the initial horizontal velocity?

    b. ... the initial vertical velocity?

    c. ... the horizontal acceleration?

    d. ... the vertical acceleration?

    2. Supposing a snowmobile is equipped with a flare launcher which is capable of launching a sphere vertically (relative to the snowmobile). If the snowmobile is in motion and launches the flare and maintains a constant horizontal velocity after the launch, then where will the flare land (neglect air resistance)?

    a. in front of the snowmobile

    b. behind the snowmobile

    c. in the snowmobile

    3. Suppose a rescue airplane drops a relief package while it is moving with a constant horizontal speed at an elevated height. Assuming that air resistance is negligible, where will the relief package land relative to the plane?

    a. below the plane and behind it.

    b. directly below the plane

    c. below the plane and ahead of it

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