What is the x displacement for particle 1?

Q: Combine these two equations to develop an expression for tan(θ2) in terms of Fr, F1, F2, and θ1.…

A: Step 1:Step 2: Step 3: Step 4:

Q: A cart is moving at a constant absolute velocity Vcart = 5 km/h to the right. A high-speed jet of…

A: Velocity of the cart (Vcart) = 5 km/h to the right.Velocity of the water jet (Vjet ) = 15 km/h to…

Q: Find the magnitude of vector PQ ,where P(2,29) and Q(-2,-1).

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Q: ADog starts at the origin and moves with the speed of vo = 20 cm/s in the direction of 45° to the…

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Q: A student takes a much needed break from her studies and wanders around in the Arnold Arboretum.…

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Q: At time t, Orange's x-position is x(t) and Green's y-position is y(t). Orange and Greem fly at vo…

A: Ques:

Q: Let E := Egi+ E4j+ E2k and H := Hi+ Hyj+H¿k be two vectors assumed to have continuous partial…

A: Given,∇.E=0∇.H=0∇×E=-1c∂H∂t∇×H=1c∂E∂t

Q: Consider the three displacement vectors Å = (31 – 3)m, B = (i- 4j)m, and Č = -(-21 + 5))m. Use the…

A: The given three displacement vectors, A→=3 i^-3 j^ mB→=i^-4 j^ mC→=--2 i^+5 j^ m

Q: The derivative of the displacement r with respect to the time t is known to be:

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Q: esultant

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Q: Q2: Solve the initial value problem by implementing the convolution: 4y" + y = g(t), y(0) = 3, y'(0)…

A: Given: 4y"+y=gt, y0=3, y'0=-7

Q: Q:1 a)Take any two vectors A and B in three dimensional Cartesian coordinate system of your choice…

A: (a) Consider the vectors are: Take the dot product of vector A and vector B.

Q: 52. A shot is fixed at an angle a to the horizontal up an inclined plane of inclination B. It will…

A: 52) Refer to the figure below :  It is given that the shot strikes the plane horizontally at point…

Q: Find a vector of length 2 in the opposite direction of the displacement from P,(-2,3,5) to P,(3,5,-…

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Q: Exploding rocket A rocket accelerates upward with total acceleration a. It explodes time tafter…

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Q: A projectile is launched at 50m/s velocity making an angle of 30 with horizontal. a. Calculate the…

A: Given, projectile is launched at an angle, θ = 30° above the horizontalwith initial speed, v = 50 ms

Q: ground. Someone is riding a motor scooter on the flatcar.  a. What is the magnitude of the velocity…

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Q: A straight river flows south at a speed of 2 mi/h. A boater attempting to cross the river heads due…

A: Givenriver flow speed, u=2 mi/h    due southmotor boat speed, v=5 mi/h    due west relative to…

Q: Projectile motion is an important example of 2D motion. However, this motion can be analyzed and…

A: A projectile motion can be considered as two 1D motions happening at the same time. (i) vertical…

Q: given the derivatives dr/dt = A) find r(t) B) find the position at t = 6 seconds C) find the…

A: The velocity of a body having position vector r is given as v= dr/dt .

Q: A river 279 m wide flows at a uniform 2.8 m/s east. Mary can row her boat at a constant speed of 3.5…

A: Given The width of the river is d=279m the velocity of the river in the east direction is vr=2.8m/s…

Q: projectile is launched with a speed v0 = 22.5 m/s from the floor of a 4.9-m-high tunnel as shown.…

A: Given : Vo= 22.5 m/s h = 4.9 m

Q: hips A and B leave port together. For the next 2 hours, ship A travels at 29 mph in a direction 40°…

A: Consider the vector representation of the given arrangements of the ships.

Q: At noon, ship A is 200 km east of ship B and ship A is sailing north at 30 km/h. Ten minutes later,…

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Q: Problem 2 the vector r1 = (4t2 i+ 2 j) and the position of particle Suppose the position of particle…

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Q: You are in a submarine on the water surface of the ocean. Your radar spots a giant squid at rest…

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Q: A particle undergoes three consecutive displacements: d = (15i + 30j + 12k) cm, d (23i- 14j-5.0k) cm…

A: In the given question given that three consecutive displacement vector.Then We have to determine the…

Q: A particle moves in the xy-plane so that its velocity vector for time 0 <<10 is (√36-61, 4t). Which…

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Q: .  You are running north at 4.56ms. Another jogger is jogging north at 2.64ms. From your frame of…

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Q: H.W 1. A Ay is equa.

A: Given, Initial position, x1=-2,y1=5 Relation between change in y and change in x, ∆y=3∆x

Q: You are walking with constant speed v on an airport moving walkway (which moves with speed vw)…

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Q: Find the magnitude of B .d3 for the closed path (b )shown in the figure:

A: Using Ampere's law: Integral B.ds = u0*Inet Now in given scenario:  Net current through closed path…

Q: Suppose that you have two vectors (1,0,0, 1) (2,0,0, 2) at What is a"b,?

A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ

Q: A little turtle is placed at the origin of an xy-grid drawn on a large sheet of paper. Each grid box…

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Q: Mr. M is walking to Mr. T’s house. He takes a short cut across an open field. His first displacement…

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Q: If Velocity of boat (w.r.t. water) is 44 m/s, the Velocity of river (w.r.t. shore) is 4 m/s, South…

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Q: A particle in an experimental apparatus has a velocity given by v = k√√s, where v is in millimeters…

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Q: differential equation characterizing the motion. du Convert the equation into Au. Find the dt…

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Q: Three vectors A, B, and C. A = 5.0 m, towards 60 degrees below +x B = 6.0 m, towards +y C= 1.0 m,…

A: Given value--- Three vectors A, B, and C. A = 5.0m , towards 60 degrees below +x B = 6.0m towards…

Q: A helicopter blade spins at exactly 110 revolutions per minute. Its tip is 9.5 m from the center of…

A: Given data: Angular velocity (ω) = 110 rev/min Radius (r) = 9.5 m