A rowboat crosses a river with a velocity of 0.87 m/s at an angle 34◦ North of West relative to the water. The river is 648 m wide and carries a current of 0.57 m/s due East. When the boat reaches the opposite bank, how far East or West (downstream “+” or upstream “−”) from its starting point (on the opposite bank) does it land. Note: In your answer, take an Eastward displacement to be positive and a Westward displacement to be negative. Answer in units of m

A rowboat crosses a river with a velocity of 0.87 m/s at an angle 34◦ North of West relative to the water. The river is 648 m wide and carries a current of 0.57 m/s due East. When the boat reaches the opposite bank, how far East or West (downstream “+” or upstream “−”) from its starting point (on the opposite bank) does it land. Note: In your answer, take an Eastward displacement to be positive and a Westward displacement to be negative. Answer in units of m

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...

See similar textbooks

Similar questions

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?
A plane that is capable of travelling at 140 m/s wishes to travel due north from City A to City B, 500 km away, but encounters a constant crosswind that blows 25 m/s due west. What must the plane’s heading be in order to reach its destination? Suppose the pilot has no navigational expertise and decides to aim straight for City B. How far west of City B will the plane end up?
Jojo is riding a boat to travel across a river whose current has velocity of 1.20 m/s westward. If the speed of the boat is 1.85 m/s, at what angle should the boat head so that it travels northward directly across the river?
. Given 4 vectors with magnitude of 200 for V1, 200 for V2, and 150 for V3 and 100 for V4. V1 has an inclination of 30*NE, V2 is 37* SE, V3 0*W and V4 is 45*NW. What is the resultant and its direction?
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?
What is the resultant of vector A=5m East and 10m 30° South of West?
A jetliner with an airspeed of 1000 km/hr sets out on a 1500 km flight due south. To maintain a southward direction, however, the plane must be pointed fifteen degrees west of south. If the flight takes 100 min, what is the wind velocity?
A ship sets sail from Rotterdam, The Netherlands, intending to head due north at 7.5 m/s relative to the water. However, the local ocean current is 1.50 m/s in a direction 40.0º north of east and changes the ship's intended motion. In what direction would the ship have to travel in order to have a resulant velocity straight north relative to the earth, assuming the speed relative to the water reamins 7.5 m/s? Specicify the angle west of north, relative to earth? And what would the ship's speed be relative to the Earth, in meters per second
A migrating salmon heads in the direction N 45 degrees * E swimming at 2.m/h relative to the waterThe prevailing ocean currents due east at 3mi / h Find the true velocity of the vector(Assume that the vector points east, and the vector points north)
A rugby player passes the ball 9.75 m across the field, where it is caught at the same height as it left his hand. At what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used? What other angle gives the same range? For the pass using the smaller of the two angles, how long is the ball in the air?
A stone is catapulted at time t=0, with an initial velocity of magnitude 25.0 m/s and at an angle of 40.0 above the horizontal. What are the magnitudes of the (a) horizontal and (b) vertical components of its displacement from the catapult site at t 1.85 s?
A novice golfer on the green takes three strokes to sink the ball. The successivedisplacements of the ball are 4.00 m to the north, 2.00 m northeast, and 1.00 m at 30.0°west of south (Fig. P3.21). Starting at the same initial point, an expert golfer couldmake the hole in what single displacement?