A 180-m-wide river flows due east at a uniform speed of 5.0m/s. A boat with a sp

Question

A 180-m-wide river flows due east at a uniform speed of 5.0m/s. A boat with a speed of 7.7m/s relative to the water leaves the south bank pointed in a direction 33 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? Units T m/s (a) Numbe6.5 (b) Number T6.2 (c) Number Click if you would like to Show Work for this quesion: Qpen Show Work UnitsTo (degrees) UnitsTs

Explanation / Answer

VWG = 5 i

VBW= - 7.7 cos 57 i + 7.7 sin 56 j

VBG= VBW - VWG

VBW = -4.193 i + 5i + 6.38 j = 1.193 i + 6.38 j

a) Magnitude = sqroot ( 1.193^2 + 6.38^2) = 6.5 m/s apprx

b) angle = tan^-1 (6.38/ 1.193) = 79.408 degree north of east or 10.59 east of north

c)time= 180/6.38=28.2 sconds apprx

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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