Precalculus Honors Name__________________________

Vectors Test Review Date___________________________

1. If : find ,100at 35 and 60at 16 srsr

a) As a sum of two components

b) As a magnitude and a direction

2. A speedboat traveling on the Mid-Hudson Bay encounters a current of 25 mph at a bearing of

272 and a head-wind of 32 mph at a bearing of 254. If the boat’s speed is 107 mph at a bearing

of 60, what is the boat’s resultant speed and bearing? (Use components)

3. Raindrops are falling vertically at a speed of 120 km/h through air that is moving horizontally

at a speed of 40 km/h.

a) At what angle do the drops strike the ground?

b) How fast are the drops actually going?

4. If 73 is embetween th angle theand 12 and 8 ba

then determine

a) ba

b) ba

Precalculus Honors Name__________________________

Vectors Test Review Date___________________________

5. A ship is sailing through the water in the English Channel with a velocity of 22 knots along a

bearing of 157. The current has a velocity of 5 knots along a bearing of 213. The actual

velocity of the ship is the vector sum of the ship’s velocity and the water’s velocity. Find the

actual velocity.

6. A navigator on an airplane knows that the plane’s velocity through the air is 250 km/h on a

bearing of 237. By observing the motion of the plane’s shadow across the ground, she finds to

her surprise that the plane’s ground speed is only 52 km/h, and its direction is along a bearing of

183. She realizes that the ground velocity is the vector sum of the plane’s air velocity and the

velocity of the wind. What wind velocity would account for the observed ground velocity?

7. You swim at 3 km/h with your body perpendicular to a stream with a current of 5 km/h. Your

actual velocity is the vector sum of the stream’s velocity and your swimming velocity. Find your

actual velocity.