Homework Help: Physics

Posted by Noah on Monday, December 3, 2012 at 12:42pm.

A powerboat heads due northwest at 11 m/s relative to the water across a river that flows due north at 5.4 m/s. What is the velocity (both magnitude and direction) of the motorboat relative to the shore?

Physics - Henry, Wednesday, December 5, 2012 at 7:19pm
Vb = 11m/s @ 135o + 5.4m/s @ 90o.

X=11*cos135+5.4*cos90=-7.78 + 0=-7.78m/s
Y=11*sin135+5.4*sin90 =7.78+5.4=13.18 m/s.

tanAr = Y/X = 13.18/-7.78 = 1.69385.
Ar = -59.4o = Reference angle.
A = --59.4 + 180 = 120.6o = Direction.

Vb = X/cosA = -7.78/cos120.6=15.28 m/s=
Velocity of boat.

Answer this Question

Related Questions

Physics - A powerboat heads due northwest at 11 m/s relative to the water across...
Physics - a powerboat heads due northwest at 15 m/s relative to the water across...
physics - A river flows due east at 1.34 m/s. A boat crosses the river from the ...
physics - A river flows due east at 2.00 m/s. A boat crosses the river from the ...
Physics - A river flows due east at 1.42 m/s. A boat crosses the river from the ...
Physics - A river flows due East at 0.979 m/s. A boat crosses the river from the...
physics - A river flows due east at 1.91m/s.A boat crosses the river from the ...
physic - Hi!Question: A river flows due east at 1.70m/s.A boat crosses the river...
physics - A river flows due east at 1.50 m/s. A boat crosses the river from the ...
Physics - A river flows due south with a speed of 2.00 m/s. A man steers a ...

For Further Reading

First Name:
School Subject:
Answer: