how to find the displacement vector?
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The displacement vector d from P1 to P2 may be written as d = (x2 - x1)i + (y2 - y1)j. The displacement d is (x2 - x1) units in the x-direction plus (y2 - y1) units in the y-direction. The magnitude of the displacement is d = ((x2 - x1)2 + (y2 - y1)2)½.
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The area under a velocity graph represents the displacement of the object.
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In a spring system, the conservation equation is written as: 12mv2+12kx2=constant=12kX2 1 2 mv 2 + 1 2 kx 2 = c o n s t a n t = 1 2 kX 2 , where X is the maximum displacement.
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Distance is the magnitude (length) of the displacement vector. Path length is how far the object moved as it traveled from its initial position to its final position.
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You can use a velocity vs. time graph to calculate the displacement of an object in straight-line motion. The area between the graph line and the time axis equals the object's displacement over that time period.
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In the example, if you left home at 2 p.m. and arrived at your destination at 2:30 p.m., it took 30 minutes or 0.5 hours. Divide the displacement by the change in time to calculate average velocity. In the example, divide 10 miles by 0.5 hours to calculate the average velocity of 20 miles per hour.
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The fluid displaced has a weight W = mg, where g is acceleration due to gravity. Therefore, the weight of the displaced fluid can be expressed as W = ρVg. The weight of an object or substance can be measured by floating a sufficiently buoyant receptacle in the cylinder and noting the water level.
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The magnitude of the buoyant force is equal to the the magnitude of the weight wliquid of the displaced liquid. wliquid = ρliquidVg. The volume V of the displaced liquid is the volume of one half sphere, V = 2πr3/3 = 2π(6cm)3/3 = 452cm3.
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How to calculate the magnitude of a 3D vector? |V| = sqrt(x² + y² + c²) where x, y, z are the components of the vector V. Graphically the above formula can be proven by plotting a 3D vector on a x, y, z coordinate system and using the Pythagorean theorem and some geometry to calculate the magnitude of the vector.
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Displacement is a vector which points from the initial position of an object to its final position. ... Instantaneous velocity, on the other hand, describes the motion of a body at one particular moment in time. Acceleration is a vector which shows the direction and magnitude of changes in velocity.
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['the formula is.', 's = ut + 0.5 at^2.', 'where s is the distance, u is the initial velocity (speed is the magnitude of velocity), a is the acceleration and t is the time.', 'Put all the values in the above formula and you will get an equation for t. ... ', 'You can also solve these two equations:']
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['t = √(2y/g)', 't = √[2*(200 m)/(9.8 m/s2)]', 't = √(40.8 s2)', 't = 6.39 s.']
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To determine the displaced volume of the port, we simply multiply the cross-sectional area by the internal length of the port (which we have already determined as 12” in this example.) Displaced Volume = 9.61625 X 12 = 115.395 cu.in.
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The position vector tells where an object is relative to a “fixed” origin. The displacement vector indicates where an object is relative to where it was in its last position.
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In equation form, this is Wnet=Fnetdcosθ where θ is the angle between the force vector and the displacement vector.
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Displacement in SHM is given by x = A sin( wt) where A is amplitude, w is angular velocity, t is instantaneous time. ... Hence phase difference between velocity and acceleration is also pi/2. Phase difference between displacement and acceleration is pi radians or 180 degrees.
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Equations: Final Velocity V2 V2 = V1 + a∆t. Displacement ∆x ∆x = V1∆t + 0.5(a∆t2)