A particle r = (2t3+ 3t) i + (4 - 5t2) j - t4 k Position depending on time given position moves with the vector. Here r is in meters and t is in seconds. a) How far has it traveled at the end of the first 3 seconds? b) What is the angle between the instantaneous vector t = 2 s and the position vector?

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Q: The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) k is the position of a particle in space at time t.…

A: Given in question→                       r(t) = 3t+5i^  + 4t2-5j^ + 4t k^ To find →          (a)…

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A: Given that, Position vector r(t)=(t2)i+(t+13t3)j+(t-13t3)k

Q: A robot lands on Mars. Its x and y coordinates are given by equations: x(t) = 2m – (0.25m/s2)t2…

A: X(t) = 2 - 0.25t2  Y(t) = t + 0.025t3  Note: based on unit of 0.025 it must be multiplied by t3

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Q: Starting from a location with position vector r1x = -18.3 m and r1.y = 21.7 m, a rabbit hops around…

A: The initial position of the rabbit, r1,x = -18.3 m and r1,y = 21.7 m The average velocity of the…

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Q: An object moves in the x-y plane with coordinates given as a function of time by: x(t) = Rcos(wt)…

A: The velocity vector(v→) of any object with a position vector(r→) can be given as, v→ = ddt(r→)

Q: In a coordinate system (O, i, j), the position vector of a moving particle is given by: r (t) = ti +…

A: Given data: The position vector of the particle, r→(t)=ti→+t2+1j→ (a) Substitute 0 for t in the…

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Q: Initially, a bicycle is at the position F= (130 m)i + (210 m); After 120 s, the position of the…

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Q: 1. The dog runs across the backyard lot on which a set of coordinates axes has, strangely  observed,…

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Q: 5. Four members of the Main Street Bicycle Club meet at a certain intersection on Main Street. The…

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Q: The figure shows the path taken by a drunk skunk over level ground, from initial point i to final…

A: d1 = 4.80 m d2 = 7.30 m d3 = 10.0 m θ1 = 32.0°, θ2 = 49.0°, and θ3 = 84.0° S1 = (d1 cosθ1) i + (d2…

Q: A particle moves along in three-dimensional motion with position vector given x (t) = 3.20 t m i +…

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Q: The particle’s position vector varies in time according to the expression ?= 3.00i − 6.00t2? ? (a)…

A: Given Position Vector = 3i^ - 6t2j^ we have to find particle's position and velocity at t = 1.00s

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

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Q: An electron's position is given by = 4.00tî - 5.00t2 j + 6.00k, with t in seconds and r in meters.…

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Q: An object moves in the x-y plane with coordinates given as a function of time by: x(t) = Rcos(wt)…

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Q: An object moves in the x-y plane with coordinates given as a function of time by: x(t) = Rcos(ωt)…

A: The position of an object moving in xy plane is given by : x(t) = R cos(ωt) y(t) = R Sin(ωt)

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Q: The position vector 7 = 4.70t|i+ let + ft2 is in meters, t is in seconds, and factors e and f are…

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Q: Answer the problem by choosing one of the eight labeled acceleration vectors or selecting option I:…

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Q: A. DRAWING AND ESTIMATING THE VECTOR COMPONENTS Sketch the given vectors; determine the direction of…

A: Given: The given vector with their components are shown: Now 200 mile=321.869 km

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Q: حل كل السؤال

A: According to the company policy only 1st question will be answered. It is given that

Q: The movement of an object in the zy-plane is described by the position function: r(t) = #(t)i +…

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Q: 1. A particle is moving in the xy plane starting from the origin with an initial velocity in x of 15…

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Q: x = 4.6t^2 - 1.9t^3 From t = 0.0 s to t = 4.0 s, what distance does the particle move? (For vector…

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Q: You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy…

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Q: Q.4. A robot lands on Mars. Its x and y coordinates are given by equations: x(t) = 2m –(0.25m/s2 )t2…

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Q: Compute the x- and y-components of the vectors A, B, Č, and in. B (15.0 m) For related…

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.