NAME:______DATE:______

RIVERBOAT PROBLEMS:
Draw vector diagrams for each question. When you find the resultant you must include a direction (angle) for the resultant.

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

  1. 10 mi/hr headwind.(70mph)
  2. 10 mi/hr tailwind.(90mph)
  3. 10 mi/hr crosswind. (80.6mph)
  4. 60 mi/hr crosswind.(100mph)

2. A motor boat traveling 5 m/s, East encounters a current traveling 2.5 m/s, North.

  1. What is the resultant velocity of the motor boat?(5.59m/s @26.60 North of East)

3. A motor boat traveling 5 m/s East encounters a current traveling 3.5 m/s South.

  1. What is the resultant velocity of the motor boat?(6.10m/s @ 350 South of east)


4. A motor boat traveling 6 m/s East encounters a current traveling 3.8 m/s South.

  1. What is the resultant velocity of the motor boat?(7.1 m/s @ 32.340 South of East)
  2. If the river is 220m wide, how long does it take the boat to cross the river?(36.7 s)
  3. What distance downstream does the boat reach the opposite shore?(139.33m)

5. If the current velocity in question #4 were increased to 5 m/s, then

  1. What is the resultant velocity of the boat?(7.8 m/s @ 39.80 South of east)
  2. How long does it take the boat to cross the river?(36.7 s)
  3. What distance downstream would the boat travel during this time? (183.5m/s)


6. Johnny walks 4.0m to the west, then 8.0m north and lastly 6.0 m east. Find Johnny’s resultant displacement. (8.24m/s, 760 North of East)

7. Peter walks 10.0 m North, then 5.0m west, then 4.0m east and finally 5.0 m south. Find Peter’s resultant displacement.(5.1m, 78.70North of West)

8. Peter applies a force of 20N North, John applies a force of 10N West and Amy applies a force of 25N south on a heavy dresser. Find the resultant force on the dresser.(11.2 N, 25.60 South of West)