A 280-m-wide river flows due east at a uniform speed of 3.6 m/s. A boat with a speed of 7.7 m/s relative to the water leaves the south bank pointed in a direction 34° west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river?

Name: a 280 m wide river flows due east at a uniform speed of 36ms a boat with a speed of 77ms relative to the water leaves the south bank pointed in a direction 34o west of north what is the a ma 25896
Uploaded: 2022-05-25T05:12:52-08:00
Duration: 4 min 22 s
Channel: Adi S
Description: a 280 m wide river flows due east at a uniform speed of 36ms a boat with a speed of 77ms relative to the water leaves the south bank pointed in a direction 34o west of north what is the a ma 25896

          A 280-m-wide river flows due east at a uniform speed of 3.6 m/s.
A boat with a speed of 7.7 m/s relative to the water leaves the
south bank pointed in a direction 34° west of north. What is the
(a) magnitude and (b) direction of the boat's velocity relative to
the ground? Give the direction as the angle of the velocity from
due north, positive if to the east and negative if to the west. (c)
How long does it take for the boat to cross the river?

Added by John E.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

05/25/2022

Step 1

30 \text{ m/s} \hat{i} + 6.38 \text{ m/s} \hat{j} \] \[ \text{Velocity of river (U)} = 3.6 \text{ m/s} \hat{i} \] \[ \text{Velocity of boat relative to ground (VBG)} = \text{BBW} - \text{U} = -4.30 \text{ m/s} \hat{i} + 6.38 \text{ m/s} \hat{j} - 3.6 \text{ m/s} Show more…

Show all steps

Thanks for your feedback!

A 280-m-wide river flows due east at a uniform speed of 3.6 m/s. A boat with a speed of 7.7 m/s relative to the water leaves the south bank pointed in a direction 34° west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river?