A canoe has a velocity of 0.33 m/s southeast relative to the earth. The canoe is

Question

A canoe has a velocity of 0.33 m/s southeast relative to the earth. The canoe is on a river that is flowing 0.46 m/s east relative to earth.
Find the magnitude of the velocity of the canoe relative to the river.
Find the direction of the velocity of the canoe relative to the river.

Please help me understand how to set this problem up. A canoe has a velocity of 0.33 m/s southeast relative to the earth. The canoe is on a river that is flowing 0.46 m/s east relative to earth.
Find the magnitude of the velocity of the canoe relative to the river.
Find the direction of the velocity of the canoe relative to the river.

Please help me understand how to set this problem up.
Find the magnitude of the velocity of the canoe relative to the river.
Find the direction of the velocity of the canoe relative to the river.

Please help me understand how to set this problem up.

Explanation / Answer

a) x component of the velocity

vx(canoe, river) = 0.33 * cos 315 + 0.46 * cos 180 = -0.227

y component of the velocity

vy(canoe, river) = 0.33 * sin 315 + 0.33 * sin 180 = -0.233

magnitude of the velocity v = sqrt (x2 + y2) = sqrt( 0.2272 + 0.2332)

v = 0.325 m/s

b) theta = tan-1 (y / x)

= tan-1 ( 0.233 / 0.227)

theta = 45.740

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.