||A boat shown below travels at 4.2 m/s relative to the water, in a river
flowing at 2.8 m s.
At what angle (theta) must the boat head to reach the destination directly
across the river?
||Pamela swims at 2.8 m/s relative to the water, heading west. The current
flows south at 1.2 m/s. Find Pamela's resultant direction.
|A. 23° S of W.
||B. 25° S of W.
||C. 23° N of W.
||D. 25° N of W.
||An airplane which was flying eastward is later flying southward at
the same speed. Which vector shows the airplane's change in velocity?
||A pilot points an aircraft due east, while the wind blows from the
The resultant velocity of the aircraft over the ground is 64 m/s, 25°
N of E . At what speed does the wind blow?
|A. 2.6 m/s
||B. 27 m/s
||C. 30 m/s
||D. 58 m/s
||Initial velocity vector Vo and final velocity
vector V are shown below.
Which of the following represents the change in velocity?
||A car changes its velocity from 55 km/h due north to 55 km/h due east.
What is the direction of the change in its velocity?
|A. 45° north of east.
||B. 45° north of west.
||C. 45° south of east.
||D. 45° south of west.
||A car travels 10.0 km due east and then 12.0 km in a direct 45°
north of west. What is the magnitude of the car's displacement?
|A. 6.6 km
||B. 8.6 km
||C. 15.6 km
||D. 22.0 km
||A plane heads north with an airspeed of 420 km/h. However, relative
to the ground, it travels in a direction 7.0° west of north. If the
wind's direction is towards the southwest (45.0° south of west), what
is the wind's speed?
|A. 51 km/h
||B. 65 km/h
||C. 72 km/h
||D. 83 km/h
||A passenger on a bus walks towards the back of
the bus at 3.0 km/h, relative to the bus, while the bus travels south at
15 km/h. The passenger's velocity, relative to the road, is:
|A. 18 km/h (N)
||B. 18 km/h (S)
||C. 12 km/h (N)
||D. 12 km/h (S)
||A motorboat at point X must cross a river flowing as shown in the diagram.
If the boat travels at a fixed speed relative to the water, in which direction
should the boat head in order to reach the other side in the least amount
||A boat which can travel at 5.6 m/s in still water heads due east across
a river from a dock at X. The boat's resultant path is 32° south of
a) What is the speed of the current? (5 marks)
b) How long will it take the boat to reach the far shore if the river
is 185 m wide? (2 marks)
||A pilot points an aircraft due west, while
the wind blows towards the NNE (45 degrees north of east). The resultant
velocity of the aircraft over the ground is 64 m/s, 25° N of W .
(a) At what speed does the wind blow, and
(b) what is the speed of the plane with respect to the wind? (7 marks)