A river flows due south at 5 mi/h. A swimmer attempting to cross the river heads due east swimming at 3 mi/h relative to the wat
er. Find the true velocity of the swimmer as a vector. (Assume that the i vector points east, and the j vector points north.)
1 answer:
Answer:
<u>velocity of swimmer relative to ground = 3 i -5 j</u>
Explanation:
- To cross a river the swimmer swims relative to river in perpendicular direction.
Velocity of river = -5 j (south)
Velocity of swimmer relative to river = 3 i(north)
So
<h2>Velocity of swimmer relative to ground = Velocity of swimmer relative to river + Velocity of river</h2>Velocity of swimmer relative to ground = 3 i -5 j
So magnitude of total velocity is =
=
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Since the tank is completely filled with milk, the vertical acceleration is
Therefore substituting, we get
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