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alisha [4.7K]
3 years ago
7

A river flows due south at 4 mi/h. A swimmer attempting to cross the river heads due east swimming at 2 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.)
Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0

Answer:

\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h

Step-by-step explanation:

velocity of river with respect to ground = 4 mi/h south

\overrightarrow{V_{R,G}}=4(\widehat{-j})

Velocity of swimmer with respect to river = 2 mi/h east

\overrightarrow{V_{S,R}}=2(\widehat{i})

According to the formula of relative velocity

\overrightarrow{V_{S,R}}=\overrightarrow{V_{S,G}}-\overrightarrow{V_{R,G}}

2\widehat{i}=\overrightarrow{V_{S,G}}+4\widehat{j}

Where, V(S,G) be the velocity of swimmer with respect to ground, it is true velocity of swimmer.  

\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h

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