Swimming at 1.00 m/s relative to still water, a swimmer heads directly across a river of width 100 m. He arrives 45.0 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current in the river? m/s (b) At what angle relative to the line perpendicular to the shore should he head to arrive at a point directly opposite his starting point?

Swimming at 1.00 m/s relative to still water, a swimmer heads directly across a river of width 100 m. He arrives 45.0 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current in the river? m/s (b) At what angle relative to the line perpendicular to the shore should he head to arrive at a point directly opposite his starting point?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 16P: A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at...

See similar textbooks

Similar questions

A swimmer is capable of swimming 0.58m/s in still water. She wants to arrive at a point directly across the stream of a 54 m wide river whose current is 0.50m/s. At what angle upstream must she aim? How long will it take her to cross the river?
An athlete crosses a 29 m wide river by swimming perpendicular to the water current at a speed of 1.1 m/s relative to the water. He reaches the opposite side at a distance 35m downstream from his starting point. How fast is the water in the river flowing with respect to the ground in m/s?
Snow is falling vertically at a constant speed of 7.8m/s. a) At what angle from the vertical and b) with what speed do the snowflakes appear to be falling as viewed by the driver of a car traveling on a straight road with a speed of 55km/h?
A boat crosses a river of width 225 m in whichthe current has a uniform speed of 1.35 m/s.The pilot maintains a bearing (i.e., the direction in which the boat points) perpendicularto the river and a throttle setting to give aconstant speed of 2.92 m/s relative to the water.What is the magnitude of the speed of theboat relative to a stationary shore observer?Answer in units of m/s. How far downstream from the initial positionis the boat when it reaches the opposite shore?Answer in units of m
A rocket is landing vertically downward from a point 2 miles east of an observer on the ground. What is the speed of the rocket when the angle of elevation of the observer's line of sight to the rocket is 50° and is decreasing 5° per second?
An archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the pond in which he is swimming. The fish is to successfully spit at and strike the grasshopper, which is 0.200 m away horizontally and 0.395 m above his mouth. A) What angle (in degrees) above the horizontal must he spit? (In degrees)
The operator of a boat wishes to cross a 5-km wide river that is flowing to the east at 10 m/s. He wants to reach the exact point on the opposite shore 15 min after starting. With what speed and in what direction should the boat travel?
An archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the pond in which he is swimming. The fish is to successfully spit at and strike the grasshopper, which is 0.200 m away horizontally and 0.335 m above his mouth. What is the minimum speed at which the archer fish must spit?
An archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the pond in which he is swimming. The fish is to successfully spit at and strike the grasshopper, which is 0.200 m away horizontally and 0.435 m above his mouth. What angle (in degrees) above the horizontal must he spit? Assume vfy = 0.
A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one particularday, she records that they fly 5.0 km northeast, then turn toward to the south of east by 30 degrees and fly 4.0 kmin the new direction. How far north or south of their original position are the birds?
For safety reasons, park rangers decide to start an avalanche on a mountain slope. They fire an artillery shell at an angle of 520 above the horizontal with an initial speed of 295 m/s. Thirty seconds later they see the explosion. What is the x coordinates of the shell where it explodes, relative to the firing point?
A sailor in a small boat encounters shifting winds. She sails 8 km south, then 15 km 30o E of N, and then 12 km 25o N of W. Use the polygon method to determine the magnitude and direction of her resultant displacement.