A boat travels directly across a river that has a downstream current, v.
What is true about the perpendicular components of the boat’s
velocity?
a. One component equals v; the other component equals zero.
b. One component is perpendicular to v; the other component equals v.
c. One component is perpendicular to v; the other component equals v.
d. One component is perpendicular to v; the other component equals
zero.
(answer is C but explain why)
The boat travels directly across the river at a velocity......this component of its 'final' or resultant velocity is perpindicular to 'v' .
the boat ALSO travels downriver at velocity 'v' ....this component is perpindicular to its crossing velocity, but it is a component of its resultant velocity.
Another way:
The boat has two perpindicular components of its 'resultant' velocity..... the downriver current, v , and its crossing velocity (provided by its motor...or sail...or paddle etc).