Problem 54.
53
If you walk 35 km at an angle 25◦counterclockwise from east, and
then 22 km at 230◦counterclockwise from east, find the distance and
direction from your starting point to your destination.
√54 The figure shows vectorsAandB. Graphically calculate the
following, as in figure q on p. 204.
A+B,A−B,B−A,− 2 B,A− 2 B
No numbers are involved.
55 Phnom Penh is 470 km east and 250 km south of Bangkok.
Hanoi is 60 km east and 1030 km north of Phnom Penh.
(a) Choose a coordinate system, and translate these data into ∆x
and ∆yvalues with the proper plus and minus signs.
(b) Find the components of the ∆rvector pointing from Bangkok
to Hanoi.√56 Is it possible for a helicopter to have an acceleration due east
and a velocity due west? If so, what would be going on? If not, why
not?Problem 57.57 As shown in the diagram, a dinosaur fossil is slowly moving
down the slope of a glacier under the influence of wind, rain and
gravity. At the same time, the glacier is moving relative to the
continent underneath. The dashed lines represent the directions but
not the magnitudes of the velocities. Pick a scale, and use graphical
addition of vectors to find the magnitude and the direction of the
fossil’s velocity relative to the continent. You will need a ruler and
protractor.√232 Chapter 3 Conservation of Momentum