= v
+ v
BGx
WG x
BWx
m
m
v
= 8.50
+ 2 899
.
BGx
s
s
m
v
= 11.299
BGx
s
and we add the y components to get the y-component of the resultant:
v
= v
+ v
BGy
WG y
BWy
m
m
v
= 0
+10 82
.
BGy
s
s
m
v
= 10 82
.
BGy
s
Now we have both components of the velocity of the boat relative to the ground. We need to
draw the vector component diagram for v
to determine the direction and magnitude of the
BG
velocity of the boat relative to the ground.
y, North
v
BG
m
v
= 10 82
.
BG y
s
θ
x, East
m
v
= 11.299
BGx
s
We then use the Pythagorean Theorem to get the magnitude of the velocity of the boat relative to
the ground,
67