kimming lai right-na ne lake, A saliboat is OSs a lad ke witrn a constant aCceler lon. ituation, we are using a systeri wi re the X2 plane is in plane positive y direction is vertically upward. All angles below are measured in the xz plane, counterclockwise from the positive x direction when view from above the lake (that is, from a point on the positive y axis). (Use a standard rectangular coordinate system where +x is to the right, +y is vertically upward, and +z is toward you. ) The sailboat's acceleration is 0.583 m/s2 at an angle of 210° for a 4.00 s time interval. At the start of this interval (noted as t = 0), it is moving with a velocity of 1.77 m/s at 30.0° and is at the position 29.7 m at 160°. Determine the following (in vector notation) for the sailboat at t = 4.00 s. (Express your answer in vector form.) (a) the position vector r(t = 4 s) (b) the velocity vector v(t = 4 s) = m/s (c) the acceleration vector a(t = 4 s) = m/s?

kimming lai right-na ne lake, A saliboat is OSs a lad ke witrn a constant aCceler lon. ituation, we are using a systeri wi re the X2 plane is in plane positive y direction is vertically upward. All angles below are measured in the xz plane, counterclockwise from the positive x direction when view from above the lake (that is, from a point on the positive y axis). (Use a standard rectangular coordinate system where +x is to the right, +y is vertically upward, and +z is toward you. ) The sailboat's acceleration is 0.583 m/s2 at an angle of 210° for a 4.00 s time interval. At the start of this interval (noted as t = 0), it is moving with a velocity of 1.77 m/s at 30.0° and is at the position 29.7 m at 160°. Determine the following (in vector notation) for the sailboat at t = 4.00 s. (Express your answer in vector form.) (a) the position vector r(t = 4 s) (b) the velocity vector v(t = 4 s) = m/s (c) the acceleration vector a(t = 4 s) = m/s?

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 70P

See similar textbooks

Related questions

Q: shows foun vectoms ,で, with magnilude. A= 5, 6=7, <. 7A e =9, D= 11. Find out angle between 5…

Q: Vector R is definedas the vector sum of vectors A andD(?⃗= ?+ ?⃗⃗)shownbelow. What are the vector…

Q: pen GEAR 1 What are He x ano)y comporentts Of avector with magnitole 7.0 and angle 60? 2) The x y…

A: According to question we need to find--- magnitude and direction of the vectors.

Q: ; Derive the relationship 효x (@x7) = -요R, where vectors ,7, and Ŕ are sketched below, and 2 = |Ý| is…

A: To derive: The relationship, Ω→×Ω→×r→=-Ω2R→

Q: What are the trig equations we use to find a vector's x and y components, and it's directional…

A: Any vector directed in two dimensions can be thought of having an influence in two different…

Q: Ranjeet parks his car in a lot on the corner of Park Lane and Main Street. He walks 80 m east to…

A: Given Ranjeet walks 80 m east, then turn 30 degree to left and walk for 100 m ,after he took…

Q: dsOne morning, Cosdnnie walks from her house to go to a store that is 500 ft, S 40o W from her…

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A: Given data: One vector has components = (3,4) Second vector has components = (-1,-4) Required:…

Q: A project tile is fired in such a way that's its normal horizontal range is equal to four times its…

A: Given,Normal horizontal range is four times of maximum height for a projectile.

Q: using analytical techniques andchange the second leg of the walk to 25.0 m straight south.(This is…

Q: If point A goes North and Point B goes East, How can you fid the shortest distance from the start of…

Q: . Vector A has a moanitude A= and manes on angle of B0° with respoct to the. x-Cxis Cin the first…

Q: Construct the component vectors (RH, Ry) för of its component Vectors by using the Trigonometry. 1.…

Q: Do not solve the full qn My question is why is the vector VAot = 1.5 and VAon =-2.6 as shown in the…

Q: A person observes a point "P" east of his present position, "O". He moves 40° North of East for a…

Q: Suppose you first walk 12.0 m in a direction 20º west ofnorth and then 20.0 m in a direction 40.0º…

A: The given situation can be represented as,

Q: P rove Ehab the volu me of the parallelepiped with a djacent Sides vectors 29 o 3b and are 4e be is…

Q: A particule P moves, with constant speed, in a circular trayectory of radio r=3m and completes 1…

Q: An air traffic controller observes two airplanes approachingthe airport. The displacement from the…

A: Given: The displacement from the control tower to plane 1 is given by, vector A having magnitude 220…

Q: 1-38. Find the value of the integral fs (V x A) da if the vector A = yi + zj + xk and Sis the…

A: Using the Stokes theorem the given area integral can be converted into a line integral as below,

Q: Show that for orthogonal coordinate systems gij= 0 for i not equal to j

Q: Example:- Given two vectors: A is 6 units CEROND Jong and makes anangle of 36 with the ik positive…

Q: ector A has magnitude of 5 and its direction is 40 degree downward the x axis, w itude of 3 with…

A: Suppose Vector A has a magnitude of 5 & its direction is 400 downward the x-axis & Vector B…

Q: A particule P moves, with constant speed, in a circular trayectory of radio r=3m and completes 1…

Q: mine the magnitude of the vector sum V V1 and the angle 0, which V makes with the positive Complete…

A: Resultant of two vector can be determined by parallelogram method

Q: plication of +y b Physics nts Vector Ais shown Which of the following options represents A, the z…

Q: What angle must the boat be pointed at to cross the river to point B directly opposite point A? Note…

A: Both part 1 and part 2 correct Now, for part 3 Sin θ = Vwg/Vbw = 2.2/2.8 Sin θ = 0.786 θ =…

Q: give for the second team's (a) distance from them and (b) direction, measured from due east?

A: Given are T1 = -38cos(19°) x^ + 38 sin 19° y^ T2 = 29 sin35° x^ + 29 cos(35°) y^

Q: Consider vector Ã with components A and Ay. Derive an expression, in terms of A and Ay, for the…

Q: For a given 3-Dimensional vector: A = Axi + Ayi + Azk Its magnitude maybe obtained by product also…

A: For a given 3-Dimensional vector :…

Q: 1. Find the magnitude of B, if B = {-1,2, -2}. obuoon them

Q: Suppose you walk 18.0 m straight west and then 25.0 mstraight north. How far are you from your…

A: The displacement is,

Q: @ Avector A of of 30 with avectorB of enath 6units. Lengith 10 units makes an angle Find the…

A: Given two vector A and B . A= 10 units and B= 6 units. The angle between two vector is 30° We have…

Q: tor A points positive y dih angle of 30.0° below the positive x axis. Vector č has a magnitude of 20…

A: Vector A is pointing towards y direction is given by, A→=xj...................(1) X-component of…

Q: If Avector =6i^−8j^ and Bvector =12i^+5j^ , what is the magnitude of vector Cvector =2Avector…

A: Given The vector A is A→=6i^-8j^. The vector B is B→=12i^+5j^. The vector C is calculated as,…

Q: A kid stands 6.00 m from the base of a flagpole which is 8.00 m tall. Determine the magnitude of the…

Q: H.W O vector A is(2ml Long and is 60above the x akis Vectar Bis (am) Lang and is 60 belaw the Xazis…

A: Given data The length of vector A is given as lA = 2 m. The angle of inclination of vector A above…

Q: A novice golfer on the green takes three strokes to sink the ball. The successive displacements of…

Q: Two vect A = 1 - 2 and B

Q: Which of the following shows the correct resultant of Ā, B and č using polygon method? A) A B) B D)

Q: What is the magnitude of the component vector Ax shown in the figure? What is the sign of the y…

A: To determine : The magnitude of the component vector Ax

Q: The components of a vector A>satisfy the relation Ax = -Ay ∙ 0.What are the possible directions…

A: Given data: Components of a vector A satisfy the relation: Ax=-Ay≠0

Q: Vector Ā has a 60° North of East. Caleula te the magnitude ot z0 and poin ts and of comporents of À

A: Given data: Magnitude of the vector (A) = 20 Angle (θ) = 60°, North of East Required: x and y…

Concept explainers

Refraction of Light

Refraction is a change in the direction of light rays when they travel from one medium to another. It is the bending of light when it goes through different media.

Angle of Refraction

Light is considered by many scientists to have dual nature, both particle nature and wave nature. First, Particle nature is one in which we consider a stream of packets of energy called photons. Second, Wave nature is considering light as electromagnetic radiation whereas part of it is perceived by humans. Visible spectrum defined by humans lies in a range of 400 to 700 nm wavelengths.

Index of Refraction of Diamond

Diamond, the world’s hardest naturally occurring material and mineral known, is a solid form of the element carbon. The atoms are arranged in a crystal structure called diamond cubic. They exist in a huge variety of colours. Also, they are one of the best conductors of heat and have a very high melting point.

Question

kimming
lai right-na
ne lake,
A saliboat is
OSs a lad ke witrn a constant aCceler
lon.
ituation, we are using a
systeri wi
re the X2 plane is in
plane
positive y direction is vertically upward. All angles below are measured in the xz plane, counterclockwise from the positive x direction when view from above the lake (that is, from a point on the
positive y axis). (Use a standard rectangular coordinate system where +x is to the right, +y is vertically upward, and +z is toward you. )
The sailboat's acceleration is 0.583 m/s2 at an angle of 210° for a 4.00 s time interval. At the start of this interval (noted as t = 0), it is moving with a velocity of 1.77 m/s at 30.0° and is at the
position 29.7 m at 160°. Determine the following (in vector notation) for the sailboat at t =
4.00 s. (Express your answer in vector form.)
(a) the position vector
r(t = 4 s)
(b) the velocity vector
v(t = 4 s) =
m/s
(c) the acceleration vector
a(t = 4 s) =
m/s?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Refraction of light$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 100 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 35 . How wide is the river?
Lei A = 60.0 cm at 270 measured from the horizontal. Let B = 80.0 cm at some angle . (a) Find the magnitude of A + B as a function of . (b) From the answer to part (a), for what value of does | A + B| take on its maximum value? What is this maximum value? (c) From the answer to pan (a), for what value of does | A + B| take on its minimum value? What is this minimum value? (d) Without reference to the answer to part (a), argue that the answers to each of parts (b) and (c) do or do not make sense.
Obtain the sine law of plane trigonometry by interpreting the product A × B and the alternate representation (A − B) × B.
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
Egioghl H.W O vector A is(eml Longand is 60above the xkis Vectar B is (am) Lang and is 60 belaw the Xaxis Find the vectar sumAtB the vector difference A-B and B.A @ Avectar A of Lenath 10 units. makes.an angle of 30 with avector B of Length 6units. Find: the magnitude of the Vector difference A-B and the - O by the para llelagram method. by the triangle method.. © lay the rectangular resalution. angle itmakes with vector A @A bax is pushed.along the floor by aforceof uo nt making anangle.af 30 with the horizontalx Find the horizontaland vertical components of the force by the graphical method.
Given vector C with magnitude 10 making a 70 angle CCW wrt ‐yaxis and vector D with magnitude 6 making a 60  angle CW wrt ‐ xaxis. a)FindvectorE=C+Dinunitvectornotation, b)Draw vector E to scale so that the 3 vectors E, E & D form a triangle.
at is the smallest angle A A RペAand宮=ーベーR? What are the x magnitude Is and direction 60? he choices below are pud
Please help answer this ques tion As soon as possible. Thanks! If possible within tle rext hour Suppose thet tle vectors i, jip and a, are all unit vectors and the angle 9 = 335° Find the cartesian vector form of F= (105E + 46j)N with respect to tle uv-system ot axes.
Convert the Cartesian equation to a polar equation that expresses r in terms of 0. x? + (y + 5)? = 25 (Type an expression in terms of 0.)
Use the data in Table 3 to make this plot. That is plot I, on the -axis vs. (1/d^2), on the x-axis. Then draw a best fit line throught the data points.
600 N 45° 30° 900 N In the fig. shown. Det the resultant R including its direction using Trigonometry... R = ;; e =
Thex Component of a Vctor is 5.0 M/S and The Vctor is dreeted eo° above kr Coordinale (Polir ange or the tretor is tago) the vietor and os y Component Find The hragninte