Relative Motion Question (PHYSICS 20)

[whitsstar]

Homework Statement

You swim from the west to the eastern shore across a 30m wide section of the bow river at 3.5m/s @ 30° N of E. If the river flows southward at 4.0m/s, determine your resultant velocity/

Homework Equations

- Trig (SOH CAH TOA)

The Attempt at a Solution

So first I drew the vector 3.5 m/s @ 30° N of E and found y ( 1.75 m/s [N] ) and the x
( 3.031 m/s [E] ). From the question, 4.0 m/s - 1.72 m/s [N] = 2.25 m/s . Therefore, the new triangle would have x= 3.031 m/s and y= 2.25 m/s with hyp = 3.77m/s with the angle of 36.6

ANS = 3.8 m/s @ 37° S of E (??)

 

[Hootenanny]

Homework Statement

You swim from the west to the eastern shore across a 30m wide section of the bow river at 3.5m/s @ 30° N of E. If the river flows southward at 4.0m/s, determine your resultant velocity/

Homework Equations

- Trig (SOH CAH TOA)

The Attempt at a Solution

So first I drew the vector 3.5 m/s @ 30° N of E and found y ( 1.75 m/s [N] ) and the x
( 3.031 m/s [E] ). From the question, 4.0 m/s - 1.72 m/s [N] = 2.25 m/s . Therefore, the new triangle would have x= 3.031 m/s and y= 2.25 m/s with hyp = 3.77m/s with the angle of 36.6

ANS = 3.8 m/s @ 37° S of E (??)

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Your solution is correct