Calculus-Based Physics by Jeffrey W. Schnick - HTML preview

Chapter 11 Relative Velocity

v

= 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,

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