PHYS 101 Lecture Notes - Lecture 7: List Of Compositions By Johann Sebastian Bach

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PHYS 101: Physics for the Life Sciences Lecture 7: Kinematics IV
Example:
A boat is pointing straight North. It is crossing a river at a speed of 10 km/h relative to the
water. The water has a uniform speed of 5 km/h due East as measured by somebody on
the shore. Determine the velocity of the boat relative to the same observer on the shore.
Recall:
VAB=VAOVBO
Similarly:
VBR =VBSVRS
B = Boat
S = Shore
R = River
What You Know:
VRS=¿
Velocity of the river = 5 km/h
VBR =¿
Velocity of the boat relative to the water = 10
km/h
Solution
VBR=VBSVRS
(rearrange)
VBS=VBR+VRS
¿[10 î+5ĵ]
km/h
=¿
11.2 km/h (Use Pythagoras)
θ=63.4 °
VBS=¿
11.2 km/h @ 63.4 N of E
Example (for next class):
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