98.2k views
4 votes
A ferryboat on a river has a speed v relative to the water. The water of the the river flows with a speed V relative to the ground. The width of the river is d. (a) Show that the ferryboat takes a time 2d/p v2 − V 2 to travel across the river and back. (b) Show that the ferryboat takes a time 2dv/(v2 − V 2) to travel a distance d up the river and back. Which trip takes the shorter time?

User Hon
by
5.4k points

1 Answer

5 votes

Answer:

Step-by-step explanation:

The detailed and step by step analysis is as shown in the attached file.

A ferryboat on a river has a speed v relative to the water. The water of the the river-example-1
User Leandro Ardissone
by
5.5k points