A swimmer who can swimat a speed of 1.5 mi/h relative to the water leaves the so

Question

A swimmer who can swimat a speed of 1.5 mi/h relative to the water leaves the south bankof a river and is headed north directly across the river. If theriver's current is toward the east at 0.8 mi/h: A) In what direction is the swimmer going? B) what is the swimmer's speed realtive to land? C) if the distance across the river is 1 mile, how fardown the river does the swimmer reach the north bank? A swimmer who can swimat a speed of 1.5 mi/h relative to the water leaves the south bankof a river and is headed north directly across the river. If theriver's current is toward the east at 0.8 mi/h: A) In what direction is the swimmer going? B) what is the swimmer's speed realtive to land? C) if the distance across the river is 1 mile, how fardown the river does the swimmer reach the north bank? A) In what direction is the swimmer going? B) what is the swimmer's speed realtive to land? C) if the distance across the river is 1 mile, how fardown the river does the swimmer reach the north bank?

Explanation / Answer

Given: Vy = 1.5, Vx = .8 A) tan =Vy/Vx       = tan-1 (1.5/.8) = 61.9 deg. B) S = (Vx2+Vy2)= (1.52 +.82) = 1.7 mi/h C) d = Vy *t     t =d/Vy t = 1/1.5 = .666 hr d = Vx*t= .8*.666 = 16/3.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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