1. Add the following vectors and
determine the resultant.

3.0 m/s, 45 deg and 5.0 m/s, 135 deg

2. Add
the following vectors and determine the resultant.

5.0 m/s, 45 deg and
2.0 m/s, 180 deg

3. Add the following vectors and determine the resultant.

6.0 m/s, 225 deg and
2.0 m/s, 90 deg

4. Add
the following vectors and determine the resultant.

4.0 m/s, 135 deg and
4.0 m/s, 315 deg

5. 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.

d. 60 mi/hr crosswind.

6. A motorboat 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?

7. A motorboat traveling
5 m/s, East encounters a current traveling 2.5 m/s, South.

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?

8. A motorboat 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?