Displacement Definition and 999 Threads

A boat which travels 100km[N], then 40km[N], and finally 80km [S]. The entire trip takes 6.5 hours. Calculate the total displacement of the boat d = d2-d1 d = (-80) - 140 d = -220 d = 220km[S] Just want to make sure this is correct. Thanks

Relative Motion-- Airplane vs radar station and tracking the displacement In Figure 4-49, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d1 = 340 m from the station and at angle θ1 = 34° above the horizon. The airplane...

Hi! I can't wrap my head around the formula \textbf{D} = \epsilon \textbf{E} + \textbf{P}. The electric field, \textbf{E}, goes through the dielectric. It polarizes the atoms/molecules, which creates a field going the opposite way, which cancels out at least part of \textbf{E} (right?)...

Homework Statement A drag racer, starting from rest, accelerates to ¼ mile with a constant acceleration whose magnitude is 12.427 m/s2. At the end of the ¼ mile, a parachute opens, slowing the car down and bringing the car to a stop after 40 seconds. From the time the parachute opened, how...

Homework Statement A duck has a mass of 2.7 kg. As the duck paddles, a force of 0.13 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.20 N in a direction of 54° south of east. When these forces begin to act, the velocity of the duck is 0.13 m/s in...

We have 3 points. O, P, Q. OP = rP OQ = rQ but why is QP PrQ rather than QrP? I'm just starting M4 and I really like to understand everything. This doesn't make any sense to me and I can't find out online. I'm sure there's a logical reason for it to be like that. Is it because you go...

Homework Statement At time zero, a particle is at x = 4.0 m and y = 3.0 m and has velocity vector = (2.0 m/s)i + (-9.0 m/s)j. The acceleration of the particle is constant and is given by acceleration vector = (4.0 m/s^2)i + (3.0 m/s^2)j. a) Find the velocity at t = 2.0 s b) Express the...

Homework Statement A particle of dust is bombarded by air molecules and follows a zigzag path at constant speed v. (a)Assuming each step has a length d, find the distance traveled by the dust particle in time t. (b)What is the length of the displacement vector after N steps where N is large...

I understand that i should post all relevant work that I've done, but i don't even know where to start, in the serway 8th edition chapter 3 this problem is listed, i read all of chapter 3 yet still can't even attempt this problem. It's for my online homework which is due monday morning and was...

Homework Statement Consider the three displacement vectors A=(3i-3j) m B=(i-4j) m C=(-2i+5j) m Use the component method to determine (a) the magnitude and direction of the vector: D= A+B+C and (b) the magnitude and direction of: E=-A-B+CHomework Equations The Attempt at a Solution I did...

Homework Statement Assume you are on a planet similar to Earth where the acceleration of gravity is 10m/s^2 and the positive directions for displacement velocity and acceleration are upward. At t=0sec., an elevator is at a displacement of x=0 with a velocity of v=0m/s. A student whose weight...

Hi ! I have a intemediate calculus problem. I am seeing right now all about curves and motion curves. Homework Statement Show that 1. the path of a particle lies on a sphere if its displacement and velocity are always perpendicular 2.show that if the particle moves with constant speed then...

Homework Statement An electron is projected at an angle of 29.1° above the horizontal at a speed of 8.29×105 m/s in a region where the electric field is E = 378j N/C. Neglecting the effects of gravity, calculate the time it takes the electron to return to its initial height, the maximum height...

hi peoples... i have to design a small boat with a self draining deck. the boat has to be able to allow rain water to flow straight out above the water line. how do i work out where the waterline will be before i build the boat? and how do i calculate how high the deck should be? (depending...

[b]1. Homework Statement An aeroplane makes a round trip between two airports A and B located on the same line of longitude. On a windless day the aeroplane travels with constant speed v and the round trip time is T0. On the following day the same journey is made but there is a wind blowing...

1)What displacement must be added to a 50cm displacement in the +x-direction to give resultant displacement of 85cm at 25°? 2)A child is holding a wagon from rolling straight back down a driveway that is inclined at 20°to the horizontal. If the wagon 150N, with what force must the child pull...

]Hi Guys Can you help me with this : If a compressor with a displacement of 10 meter cube hour is displacing gas with a pressure of 10 bar, it is displacing 100 meter cube hour ?? (10 meter cube x 10 bar) rgds Marco

So suppose we have two dielectrics in contact and we want to know how \mathbf{D} varies across them, then we can use the fact that since \nabla \cdot \mathbf{D} = \rho_f and we have no "free" charges at the boundary then \mathbf{D} is continuous across it. So my question is, in Grant & Philips...

This is a very basic question, but I just started wondering about it. First which is the original quantity and which is the derived one. I mean is the displacement by definition is integral from a to b v(t) dt or is it the distance from the starting point to the finishing point or change in...

I was reading Kleppner and Kolenkow's An Introduction to Mechanics, and in one of the problems you're given a force vector as a fuction of time. You're given initial conditions and asked to compute velocity and position, then asked to find the cross product of position and velocity, that is rXv...

Homework Statement I am modelling the motion of a space probe and have some problems with obtaining velocity in terms of time v(t). I am given Q(z)=v2(z). Q(z) is a solution to ODE which I have solved with z being the independent variable. Homework Equations Q(z)= something really...

Homework Statement a ball is thrown upward with an initial speed of 80 ft/sec. Homework Equations how high is it at 3 seconds...? The Attempt at a Solution using the formula:h = Vo*t - 1/2 g*t2 where h as the height Vo is the original velocity g as the gravitational pull ...

Homework Statement During a bank robbery, one of the gangsters forgets a brick of gold on the roof of the car. Assuming that the car accelerates from rest with a constant acceleration, and that the brick was on the point of slipping, throughout the acceleration, how far did the car travel in...

http://img121.imageshack.us/img121/6590/mwsnap001.jpg The image above shows the question I'm stuck on. I've done the first part and got the force per unit mass to be -2wV'cos\lambda But I have no idea how to get the equation for the eastward displacement due to the Coreolis. Any...

Homework Statement The flywheel of a steam engine begins to rotate from rest with a constant angular acceleration of 1.33 rad/s2. It accelerates for 23.5 s, then maintains a constant angular velocity. Calculate the total angle through which the wheel has turned 67.3 s after it begins...

Homework Statement I have tried to solve the displacement sideways of an lightray through a medium with snells law. The question is how much does the ray travel in x-direction in the new medium with width D. It says in the text that one should use pytagoras but I can't seem to understand...

A fan rotating at 2.1 radian/s slows down with a constant acceleration and comes to a stop in a time of 4.7 s. What is its angular displacement in this time? Is this what I'm supposed to use: Δθ = Δθ2 − Δθ1? if it is I'm not sure how to begin to solve this problem, if anyone could help me...

hello, what would be the displacement of cfm when the wind is moving at 5km/h through a cylinder 10ft in diameter by 50 feet long. Thanks!

Homework Statement A small map shows Atlanta to be 730 miles in a direction of 5 degrees north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21 degrees west of north from Atlanta. Assume a flat Eath and use this information to find the displacement from...

Homework Statement Basically they want me to find the displacement for the entire time interval on this graph. The graph is in the attachment. Homework Equations Displacement is equal to the area under the graph. In this case d=LxW+(BxH)/2+(BxH)/2 The Attempt at a Solution My...

1. An Arrow is aimed horizontally at a bulls-eye 15 m away. If the initial veoicity of the arrow is 128 km/hr, how far below the bulls-eye will the arrow strike? A) 2.1 cm B)12 C)42 cm D)87 cm 2. Homework Equations : x=a*t or t=x/a y=1/2g*[t][/2] 3. So first, we convert 15 m...

Homework Statement Show the acceleration and velocity on the graph: x(t) = (at)i + (bt^2)j (I have done the differentiation, but I need to show them physically on the graph) a and b are positive constants Homework Equations x(t) = (at)i + (bt^2)j The Attempt at a Solution...

Homework Statement The object of this assignment is to find two engines that have the same displacement and different number of cylinders and compare ratio of their power output to a few equations' results. The engines should be from the same manufacturer and their manufacturing date should...

Homework Statement A boxcar of length 7.8 m and height 2.3 m is at rest on frictionless rails. Inside the boxcar (whose mass when empty is 2900 kg) a tank containing 1400 kg of water is located at the left end. The tank is 1 m long and 2.3 m tall. At some point the walls of the tank...

Homework Statement http://i287.photobucket.com/albums/ll124… Homework Equations At the end of the walk, what is the magnitude of the person’s resultant displacement measured from the starting point? I found this answer to be 595.7697375 m after finding the vertical velocity to be...

how displacement and velocity can be negative.

Homework Statement A car accelerates uniformly from rest. If the acceleration was 2.50 m/s^2 west, what was its displacement when it reached a velocity of 20.0 m/s west? Homework Equations The Attempt at a Solution A= 2.50 m/s^2 west Vi= 0 m/s Vf= 20 m/s west vf=vi+at 20m/s=2.50m/s^2(t)...

Homework Statement What is the displacement between 15 and 20 seconds? At 15 seconds the position is 51 meters and at 20 seconds the position is 60 meters. It is a constant velocity between 15 and 20 seconds. The answer is 9 meters but I have no idea how my teacher came to that. Thanks...

Homework Statement A movie set requires a stunt man to jump across a 40m wide river on a motorcycle. The takeoff ramp on one bank of the river is inclined at 53(degrees) above the horizontal and is 100m above the level of the river. If the bank on the far side is 15 m below the top of the...

Homework Statement The only force acting on a 2.3 kg body as it moves along the positive x-axis has an x component Fx = -3x N, where x is in meters. The velocity of the body at x = 2.8 m is 11 m/s. (a) What is the velocity of the body at x = 3.6 m? (b) At what positive value of x will the...

Hello I am trying to design a force balance lever system. Basically the initial state will in a force balance equilibrium. That is, there will be a mass m placed onto of the capacitor plate to keep the lever balanced. I will then ramp the voltage of the capacitor up, causing a force of...

HI all, I have been trying to calculate the displacement of an electron when subjected electric and magnetic field, please see the pic below: I anticipate that the electron will form an ellipse shape. Basically I would like to know how to calculate the major and minor axis of the ellipse...

HINT: SUB in (x=hv/k(b)T) I don't understand How I am supposed to approach this question or how I am supposed to verify it

Hello, Please help me solving this. Q1-If you move 10 km North, 10 km East, and 10 km South, a. What is your displacement? [ can not calculate it ] b.What is the total distance you traveled? [30 km ] 2. The below graph represents the position of a mouse at a given time...

Homework Statement While exploring a cave, a spelunker starts at the entrance and moves the following distances. She goes 75 m north, 250 m east, 100 m at an angle 30° north of east, and 160 m south. Find the resultant displacement from the cave entrance. Homework Equations The...

A glider on an air track moves in the +X direction with a constant acceleration.? It has two flags, each exact? A glider on an air track moves in the +X direction with a constant acceleration.? It has two flags, each exactly 25.4 mm long, with the midpoints of the flags separated by 162 mm...

Homework Statement A radar station detects an aircraft (moving east to west) at 1200ft at 40degrees. 12 seconds later the plane is 2080 ft from the station and has advanced 123degrees find His displacement His average Velocity Homework Equations Dx=dx1 + dx2 Dy=dy1 + dy2 The...

Homework Statement Two students are traveling along a straight line path. One at .9m/s, the other at 1.9 m/s. How far does the faster student travel in order to arrive at the destination in 5.5 min. Homework Equations I was using x=Vx X t for each students path and subtracting the...

Homework Statement A grasshopper makes four jumps. The displacement vectors are (1) 24.0 cm, due west; (2) 23.0 cm, 31.0 degrees south of west; (3) 23.0 cm, 33.0 degrees south of east; and (4) 34.0 cm, 46.0 degrees north of east. Find (a) the magnitude and (b) direction of the resultant...

Homework Statement a man walks 600m [E47 degree N] then 500m [N38 degree W] then 300m [W29degree S] and finnally 400m [S13degree E] Homework Equations find this resultant displacement. The Attempt at a Solution my problem is .. [E47 degree N] ... does that mean i must put the...