As two boats approach the marina, the velocity of boat 1 relative to boat 2 is2.15 m/s in a direction 47,0° east of north.• Part AIf boat 1 has a velocity that is 0.715 m/s due north, what is the velocity (magnitude and direction) of boat 2?|02| =m/sSubmitRequest AnswerPart BΠνα ΑΣφ02 =south of westSubmitRequest Answer

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Answered: As two boats approach the marina, the…

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 3CQ

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As she picks up her riders, a bus driver traverses four successive displacements represented by the expression (6.30 b)i (4.00 b cos 40)i (4.00 b sin 40)j + (3.00 b cos 50)i (3.00 b sin 50)j (5.00 b)j Here b represents one city block, a convenient unit of distance of uniform size; i is east; and j is north. The displacements at 40 and 50 represent travel on roadways in the city that are at these angles to the main east-west and north-south streets, (a) Draw a map of the successive displacements, (b) What total distance did she travel? (c) Compute the magnitude and direction of her total displacement. The logical structure of this problem and of several problems in later chapters was suggested by Alan Van Heuvelen and David Maloney, American Journal of Physics 67(3) 252-256, March 1999.
A swimmer headsheads directly across a river, swimming at 1.32 m/s relative to the water. She arrives at a point 41.0 m downstream from the point directly across the river, which is 67.9 m wide. What is the speed of the river current? Problem 3-56b: What is the swimmer's speed relative to the shore? Problem 3-56c: In what direction should the swimmer head in order to arrive at the point directly opposite her starting point? Give your answer as the angle relative to the direction directly across the river.?
Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction 15.0° south of east and thenwalks 30 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction (relative to the positive x-axis within the range (-180°, 180°] should it walk?
Hi please help, I am not sure how to solve this problem. If you are walking 400m east but then decide to turn back and walk 700m west, all within 10 minutes, what is the total distance that you covered and what is the displacement relative to where you started? Assume that east is the positive direction
99. Subject:- Physics From the window of a building, a ball is tossed from a height y0 above ground with an intial velocity of 8.5 m/s and angle of 19.0 degrees, below the horizontal. It strikes the ground 6.00 seconds later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the intial coordinates ot the ball? xi= yi= (b) with the positive x-direction chosen to be out the window, find the x- and y- components of the intial velocity. Vi x = ____ m/s Vi y = ____ m/s (c) Find the equations for the x- and y- components of the position as functions of time. x= _____m y=_____m (d) how far horizontallt from the base of the building does the ball strike the ground? =_____m (e) find the height from which the ball was thrown. =_____m (f) how long does it take the ball to reach a point 10.0m below the level of launching? =_____s
Imagine you want to measure the height of an inaccessible mountain peak on an island in the South Pacific. First, you line up your boat so it is due west of the peak, and then find that the peak is an angle of 12 degrees up from the horizon. Next, you move your boat a displacement of 25km, 37 degrees south of east. How tall is the peak of the mountain?
Solve the following problem using analytical techniques: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.58, then this problem asks you to find their sum R=A+B.)
Suppose you add two vectors A⃗ and B⃗. What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.30 m/s and angle of 25.0° below the horizontal. It strikes the ground 6.00 s later.(a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.)xi = yi = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.vi, x = m/svi, y = m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.)x = my = m (d) How far horizontally from the base of the building does the ball strike the ground? m (e) Find the height from which the ball was thrown. m (f) How long does it take the ball…
A car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north as shown in Fig- ure 3.11a. Find the magnitude and direction of the car’s resultant displacement.
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 9.50 m/s and angle of 15.0° below the horizontal. It strikes the ground 6.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi =____ yi =_____ (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi, x =____ m/s vi, y =____ m/s c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.) x =______ m y =_______ m (d) How far horizontally from the base of the building does the ball strike the ground? ___m (e) Find the height from which the…
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 7.50 m/s and angle of 18.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi = − yi = (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.) x = y = (f) How long does it take the ball to reach a point 10.0 m below the level of launching?

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