A child is in danger of drowning in the Merimac river. The Merimac river has a c

Question

A child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The child is 0.6 km from the shore and 2.5 km upstream from the dock. A rescue boat with speed 24.8 km/hr (with respect to the water) sets off from the dock at the optimum angle to reach the child as fast as possible. How far from the dock does the boat reach the child?

d = (....) km

A child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The child is 0.6 km from the shore and 2.5 km upstream from the dock. A rescue boat with speed 24.8 km/hr (with respect to the water) sets off from the dock at the optimum angle to reach the child as fast as possible. How far from the dock does the boat reach the child? d = (....) km

Explanation / Answer

a = 0.6 km b = 2.5 km v = 24.8 km u = 3.1 km Part 1. Initially, how is the child from the boat? Answer: c = v(a² + b²) Part 2. How much time does it take to reach the child? The distance is c and speed is v. Answer: t = c/v Part 3. How far upstream is the child at the moment when boat reaches the child? The was child is at rest with respect to the water, and drifted distance u*t downstream. Answer: d = b - ut Part 4. How far from the dock does the boat reach the child? Answer: distance D = v(a² + d²)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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