1. A mountain climber is on a ridge. He is moving forward with a speed of 1.2 m/s [N]. A cross
wind (a wind blowing at 90o to his direction of motion) gusts and causes him to also move at
1.6 m/s [E]. What is the climber's final velocity? (3 marks)
2. Given the wind conditions, the maximum velocity of a boat in still water is 5.75 m/s [S 50o W]
with respect to the water. If instead of still water, this boat is sailing in an ocean current which
has a velocity of 2.80 m/s [W 25o N] with respect to an island, what is the actual velocity of the
boat with respect to the island? (4 marks)
3. A wind is blowing at 150 km/h from a direction of north 60o east. An airplane flying in this
wind moves due north at 510.8 km/h. What is the air velocity of this plane? (4 marks)
4. A person walks 150.0 m [E 32o N]. The person then walks 76.3 m [N 50.3o W], followed
by 102 m [W 63.5o S]. What is the person's displacement from the starting position? (4 marks)
5. A baseball player throws a ball at 103 km/h 30o above horizontal. Find how long the ball stays
in the air, and how far the ball will travel before being caught. (4 marks)
6. A moving car is being observed from the air by an overhead helicopter. The car leaves a point
and heads 6 km [N], and then 4 km [W]. For a time it is hidden by a forest. The car later
emerges from the forest at a point of displacement 10 km [W 45o N] from its starting point.
Assuming the car traveled in a straight line in the forest, find its displacement vector in the forest.
(2 marks)
7. A ball thrown vertically up at 10 m/s has what displacement when its velocity is -4m/s?
(4 marks)
8. A pilot files at a speed of 200 km/h in a westward direction. If there was a steady wind
blowing from west 45o north at 80 km/h, what is the pilot's velocity with respect to the
ground? (4 marks)
9. A motor boat can travel at 12 m/s. If the boat is in a river and heads perpendicularly away
from the shore of the river, and the river flows at 4 m/s, what is the velocity of the boat relative
to the shore?
(3 marks)
10. A gear of diameter 30.2 cm has a period of rotation of 4.0s. A bolt is fastened to this gear at
a distance of 11.8 cm from the axis of rotation. What is the radial acceleration of this bolt?
(3 marks)
11. A compact disc rotates at 33 revolutions per minute. If the acceleration of a speck of dust on
the edge of the disk is 0.59 m/s2, radially inwards, what is the radius of the disc? (4 marks)
November 19, 2013