The coordinates of an object moving in the xy plane vary with time according to the equations x = -6.3 sin wt and y and t is in seconds 4.00 - 6.3 cos wt, where w is a constant, x and y are in meters, (a) Determine the components of velocity of the object at t = 0. (Use the following as necessary: w.) m/s (b) Determine the components of the acceleration of the object at t 0. (Use the following as necessary: w.) m/s2 (c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following as necessary: omega for w and t.) m/s m/s2 (d) Describe the path of the object in an xy plot

The coordinates of an object moving in the xy plane vary with time according to the equations x = -6.3 sin wt and y and t is in seconds 4.00 - 6.3 cos wt, where w is a constant, x and y are in meters, (a) Determine the components of velocity of the object at t = 0. (Use the following as necessary: w.) m/s (b) Determine the components of the acceleration of the object at t 0. (Use the following as necessary: w.) m/s2 (c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following as necessary: omega for w and t.) m/s m/s2 (d) Describe the path of the object in an xy plot

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 35AP: A person going for a walk follows the path shown in Figure P3.35. The total trip consists of four...

See similar textbooks

Related questions

Q: The position of a particle is given by x=Ct³, where C is a constant. Find the SI units for the…

A: Unit of position, x is meter Unit of t is second

Q: ne function s(t) describes the positi coordinate line, where s is in feet a t) = t³ – 15t², t > 0 )…

A: Velocity = ds/dt Acceleration =dv/dt

Q: An object is thrown straight upward with an initial velocity of 13.1 m/s. What's the object's…

A: The expression for the required displacement is,

Q: The position of an object in METERS is given by X(t) = B-t" + C-t %3D Find the Sl units of the…

Q: Given: x - coordinate: x = -5.00sinwt, where w is constant, x is meters, and t is seconds y –…

Q: An object has position given by the vector r = [3.0m + (6.0m/s)t] i + [2.0m - (2.0m/s2)t2] j, where…

Q: A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The…

Q: Given: X- coordinate: x= -5.00sinwt, where w is constant, x is meters, and t is seconds y -…

Q: A person going for a walk follows the path shown in the figure, where y, = 312 m and 0 = 66.0°. The…

Q: A web page designer creates an animation in which a dot on a computer screen has position r=[4…

Q: A jogger runs 540 m Eastward then runs 320 m Westward, then runs 710m Eastwards and finally 920m…

Q: If the velocity of a particle is measured to be 0.5 in natural units(c-1), what is the velocity in…

A: Given: The velocity of the particle, v=0.5 natural unit. Require: Velocity in SI unit.

Q: A person going for a walk follows the path shown in Fig- The total trip consists of four…

Q: answer must be in SI and round off to the nearest hundredths Vehicles has accelerated from 2.0 m/s…

A: Given initial velocity = 2.0 m/s final velocity = 5.0 m/s time taken to change the this velocity =…

Q: A person going for a walk follows the path shown in the figure, where y, magnitude 328 m and e =…

Q: The x and y coordinates of an object moving in the xy plane are given by the following expressions x…

A: The given values with suitable variables are listed below. Here, x denotes the x-coordinate of the…

Q: A particle starts from the origin of a three-dimensional coordinate system and undergoes two…

A: Given data: Particle starts from the origin r1→= 2.0mi^ + 1.0mj^+ 3.0mk^ r2→=−1.0mi^ − 3.0mj^ −…

Q: A particle is moving upward to the right along the path y = x² + 26 where x and y are in meters. The…

A: Given y = x2 + 26 x = t2-t+4

Q: The x-coordinate of a particle in curvilinear motion is given by x = 4.7t - 3.1t where x is in feet…

A: Given values,

Q: A cart is propelled over an xy plane with acceleration components ax = 4.0 m/s2 and ay=-2.0 m/s2.…

A: When the cart is at it's greatest y-coordinate,its y-component of velocity will be zero. we have, v…

Q: An objects position in the x-direction as a function of time is given by the expression: x(t)=5t^2 +…

A: The position of the object, x(t) = 5t2 + 2t The initial time, t1 = 1.15 s The final time, t2 = 2.07…

Q: For each of the three pairs of positions listed in the following table, determine the magnitude and…

Q: The position of an object as a function of time is given by r = (3.2t + 1.5t2)i + (1.7t -2.0t2)jm,…

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

Q: The x-coordinate of a particle in curvilinear motion is given by x = 4.7t - 5.5t wherexis in feet…

Q: An object is travelling in 1-dimension (i.e. along the x- axis) with a velocity described by the…

A: The acceleration of an object is defined as the time rate of change of velocity. That is:…

Q: The coordinate of an object is given as a function of time by x =4t2 - t, where x is in meters and t…

A: The coordinate of an object is given by, Differentiate the equation of coordinate with respect to…

Q: he following equations give the position x(t) of a particle in four situations (in each equation, x…

A: Given, the equation of positions of the particle, x = 3t - 4x = -5t3 + 4t2 + 6x = 2t2 - 4tx = 5t2- 3

Q: A person going for a walk follows the path shown in the figure, where y, = 302 m and 0 = 54.0°. The…

A: Displacement is the shortest path between the initial and final position. It is a vector quantity.…

Q: The x-coordinate of a particle in curvilinear motion is given by x = 6.0t3 -4.2t where x is in feet…

A: Given,x=bt3-4.2 t ftay= 2.5 t fts2at t=0, y=0,vy=4.4 ftsa=dvdt

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

Q: A cart is propelled over an its greatest y coordinate? xy plane with acceleration components a, =…

Q: A particle is moving in three dimensions and its position vector is given by; 7(t) = (1.9t² + 2.1t)…

Q: use variables only.) X=0 (b) With the positive x-direction chosen to be out the window, find the x-…

A: Given:- The height of the ball from it tossed is y0 above the ground An initial velocity of vi =…

Q: What is the displacement of a man who walked 10 m east, 5 m north, and 2 m west? A.I = (17î + 5ĵ)m…

Q: The function x (t) = -2.11e-1.93t describes the position, in meters, of a particle on the x-axis as…

A: We know that instantaneous velocity of a particle is defined as vins=dxdt where x is the position…

Q: 1.25 * A postal employee drives a delivery truck along the route shown in Fig. E1.25. Determine the…

Q: 3.7 • CALC The coordinates of a bird flying in the xy-plane are given by x(t) = at and y(t) = 3.0 m…

A: The position of any object moving in the x-y plane is given as r→=xt x^+yty^ where x(t) and y(t) are…

Q: For each of the three pairs of positions listed in the following table, determine the magnitude and…

A: Given Data: a) Initial position, x0=+2.5 m Final position, x=+6.5 m b) Initial position, x0=+5.6…

Q: A person going for a walk follows the path shown in the figure, where y, = 254 m and 0 = 56.0°. The…

Q: particle is moving in three dimensions and its position vector is given by;…

Q: h =-16t + Vot + ho

A: Given that The position function is h = -16t2 + v0t + h0

Q: A ball has coordinates x = t2 – 3t + 20 and y = 2 + 3t given in inches, wheret is in seconds. Find…

A: The components of velocity and the position are related as vx = dxdt vy = dydt The components of…

Q: 3.2 A rhinoceros is at the origin of coordinates at time t1=0t1=0. For the time interval from…

Q: The path traveled by an object (neglecting air resistance) that is projected at an initial height of…

Question

100%

this is not the actual problem it is just the practice one, I just need a step by step on how to solve it because my teacher did not really teach this in class. thank you for any help you are able to provide.

The coordinates of an object moving in the xy plane vary with time according to the equations x = -6.3 sin wt and y
and t is in seconds
4.00 - 6.3 cos wt, where w is a constant, x and y are in meters,
(a) Determine the components of velocity of the object at t = 0. (Use the following as necessary: w.)
m/s
(b) Determine the components of the acceleration of the object at t
0. (Use the following as necessary: w.)
m/s2
(c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following as necessary: omega for w and t.)
m/s
m/s2
(d) Describe the path of the object in an xy plot

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

Step 5

Step 6

Step 7

Step 8

Step 9

Step 10

Trending now

This is a popular solution!

Step by step

Solved in 10 steps with 10 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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 person going for a walk follows the path shown in Figure P3.35. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P3.35
Find the following for path A in Figure 3.54: (a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish.
The velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.
1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an angle of 50.0° with respect to the + x direction. It also has an initial velocity of vi = 7.00 m/s at an angle of 10,0° The object begins at the coordinates (0, 0). a) What are the coordinates of the object at t = 7.00 s? Want Cx, y) at t =?4 4tzテメ0チ=XT vse this Con Vxi = \V;l cos v +ハ Ay=lalsin Ga b) What is its total velocity vector of the object as a magnitude and direction at t = 7.00 s? a) Ov= Ton
in the Cartesian coordinate system, a particles in x-position is defined by x = 8t ft, where the time t is in seconds. if the equation for the path is it? y = x2/10, calculate the magnitude of the acceleration at t = 2 sec in ft/sec². X5 240042003 2100/2009 Sr0 I bro, do steny pd bedrivesh 21 plod prillot sont s to addons/esse ont geelm mit el v stories, fogalm [ ^v. + or -1] · 18.5 = 0. ci uhod sat di Inocentes e ashoshib sviting ont ban a stobiolos, skulitis doin o to the mont 1920 191 wobod alumnet ant prize 1921m ni 298 2 = & morto pindler 2+/X+0/01 S
5. A ball is thrown following a projectile motion, it is known that the horizontal distance (range) the ball can travel is given by R= sin 24, where r is the range (in feet), vy is the initial speed (in ft/s), B is the angle of elevation the bal is thrown, and g=32 ft/s? is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle 8 (0< @ < 45°) is doubled. b. If a balt travels a horizontai distance of 20 t when kicked at an angle of a with initial speed of 20/2 fus, find the horizontal distance it can travel when you double z. Hint: use result of item (a).
One of the fastest known animals is the Indian spine-tailed swift. A swift flies 2.80 km due north in a time of 32.8 s. a. What is its average velocity due north in meters per second? Enter a positive value if the average velocity is due north and enter a negative value if it is due south. answer in m/s b. What is its average velocity due north in miles per hour? Enter a positive value if the average velocity is due north and enter a negative value if it is due south. anser in mi/h
The displacement of a particle is given by s = 3t3 - 42t2 + 109t - 39 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 11 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.4 ft. v= ft/sec. a = ft/sec? sec, Att= 5.4 i ft, v= i ft/sec, a = i ft/sec? S= sec, Att = 8.5 ft. v= i ft/sec, a = i ft/sec? sec, The velocity is zero when t = i sec and when t = i sec
In reaching her destination, a backpacker walks with an average velocity of 1.18 m/s, due west. This average velocity results, because she hikes for 5.06 km with an average velocity of 2.21 m/s due west, turns around, and hikes with an average velocity of 0.717 m/s due east. How far east did she walk (in kilometers)? dw VE East West de Units Number
A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v, = 19.5 m/s. The rock leaves her hand at a height of h = 49.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s Voy m/s
A plane flies with the Jet Stream (tailwind) from Chicago to Rome in 9.1 hours, a flight distance of 7740 km. It returns, flying against the Jet Stream (headwind), in 10.8 hours. Calculate the average speed of the plane and the average speed of the wind. Must list assumptions, and draw 1D vector diagram!!! wr M
The acceleration of a particle is given by a 3t-37, where a is in meters per second squared and tis in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t=0 is so-8 m. and the initial velocity is vo-2 m/s. After you have the general expressions, evaluate these expressions at the indicated times. Answers: Att 5.5 s. 5 Att-10.5s, 5= m. v L m, m/s m/s