4. A student is capable of rowing a boat with a speed of 0.500 m/s in still water. Thestudent launches the boat into a river that is moving at 0.650 m/s. The studentpoints the boat upstream (opposite the direction the water is flowing) 15.0° from theriverbank.(a) Find the magnitude of the velocity of the boat as measured by an observer on theriverbank.(b) How long does it take for the boat to cross the 100 m wide river?

Answered: Image /qna-images/answer/8dbac7cf-8545-4194-bbde-99544bc9662f.jpg

Answered: A student is capable of rowing a boat…

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 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...

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Similar questions

A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial velocity of vi=5.00im/s. Find (a) the vector position of the particle at any time t, (b) the velocity of the particle at any time t, (c) the coordinates of the particle at t = 2.00 s, and (d) the speed of the particle at t = 2.00 s.
A rugby player runs with the ball directly toward his opponent’s goal, along the positive direction of an x axis. He can legally pass the ball to a teammate as long as the ball’s velocity relative to the field does not have a positive x component. Suppose the player runs at speed 4.0 m/s relative to the field while he passes the ball with velocity relative to himself. If has magnitude 6.0 m/s, what is the smallest angle it can have for the pass to be legal?
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?
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?
A ball is tossed horizontally from the highest point of a 75 m building and lands 150 m from the base of the building. Ignore air resistance, and use a coordinate system whose origin is at the highest point of the building, with positive y upwards and positive x in the direction of the throw. How long is the ball in the air for, in seconds?
A man points his rowboat north, straight across a river of width 114.3 m. The river flows due east. The man starts across, rowing steadily at 0.90 m/s @ north and reaches the other side of the river at a point 207 m downstream from his starting point. What is the speed of the river?
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?
A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 12 m/s. A wise elder duck finally realizes that the solution is to fly at an angle to the wind. If the ducks can fly at 16 m/s relative to the air, in what direction should they head in order to move directly south?
A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 105 m/s at an angle of 37º with the horizontal. (a) Determine the time taken by the projectile to hit the ground. (b) Determine the range of the projectile as measured from the base of the cliff. At the instant just before the projectile hits the ground, find (c) the horizontal and vertical components of its velocity, (d) the magnitude of the velocity, and (e) the angle made by the velocity vector with the horizontal.
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 cruise ship sails due north at 4.50 m/s while a Coast Guardpatrol boat heads 45.0° north of west at 5.20 m/s. What are(a) the x - component and (b) y - component of the velocity ofthe cruise ship relative to the patrol boat?
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?

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