What is the instantaneous acceleration of a particle at t = 0.56 s whose position vector is given by the function F= (2.1t²)î + (3.6t) j. Assume all quantities are in Sl units. O ā = (0.66 m/s³)î + (2.0 m/s²)ĵ (3.6 m/s?)} Oā = (4.2 m/s³)î Oā = (2.1 m/s )i + (3.6 m/s²)ĵ

Q: The position of an object at time is given by the parametric equations . x= 4t^2+2t , y=3t^2+4 Find…

A: The position of the object at time in x and y direction is given by,  x = 4t^2 + 2t  y = 3 t^2 +4 t…

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Q: The vector position of a particle varies in time according to the expression 7(t)=(1.76 t + 1.56)7…

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Q: A two pound weight is hanging in a system that has acheived equilibrium (not moving. Find 7₁ and 7₂.…

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Q: (a) In unit-vector notation, what is the sum of á (3.3 m )î + (3.6 m )ĵ and B = (- n )i+(6.9 m ).…

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Q: An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In…

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Q: Find the speed and direction of an object with v,= 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from…

A: Given data: Vx = 2.0 cm/s Vy = 3.0 cm/s Required:  The speed and direction of the object

Q: In the classic book by Jules Veme, Phileas Fogg travels around the world in 80 days. Leaving London,…

A: Given data: Time (t) = 80 days Radius of the earth (r) = 6.38 × 106 m/s Starting from London and…

Q: Consider two vectors, A = 16.1 m at 44.0°, and B (-9.70î + 3.70j) m. Determine the x and y…

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Q: You walk in the direction of the unit vector (1, 0, 0) a distance of 24 m at a constant speed of 3.0…

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Q: A particle leaves the origin with an initial velocity = (7.83î) m/s and a constant acceleration à =…

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Q: Find the A)magnitude of vectors A and B, B)the unit vectors expression for A-B, and the magnitude…

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Q: 1. A particle initially located at the origin has a constant acceleration of a = 3.00j m/s and an…

A: Given data The magnitude of the constant acceleration is a = 3 j m/s2 The initial velocity of the…

Q: wo vectors are given by đ = 1.3i + 1.8) and 3 = 7.9î + 1.6). Find (a) à x B (b) ở - B.(c)( a + B).…

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Q: The position vector of a particle of mass 0.05 kg is r (t) = 3 cos (4. t)i + 3 sin (4.t)j +10 t k…

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Q: At t = 0 an object starts from the origin and moves with a constant acceleration of a = ( − 4.72 –…

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Q: Part (a) Using the coordinate system specified, give an expression for the acceleration of the car…

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Q: Suppose that an object's position vector as a function of time is given by r(t) = 15 cos(10.5 t) i +…

A: Given : The function for the position of an object is, rt=15cos10.5ti+15sin10.5tj

Q: A velocity vector has x-component vx = 6.3 m/s and y-component vy = - 2.5 m/s. What is the total…

A: Given: X-component of velocity (Vx) = 6.3 m/sY-component of velocity (Vy) = -2.5 m/s

Q: 4. Let Ả = −4î + 5ĵ, B = 7î − 9ĵ operations (a) D = A +3B+C answers in vector notation. and Ở = −3î…

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Q: Here are three vectors in meters: á 1 = -6.60î + 8.70ĵ + 3.50k 2 = - 2.00î – 4.00ĵ + 2.00k d 3 =…

A: Given Data : The first vector is given as d1→=-6.60i^+8.70j^+3.50k^ The second vector is given as…

Q: A particle starts from the origin at t=0 with a velocity of 8.0 m/s and moves in the xy plane with…

A: Given Data :Initial speed u→ = (8 j^ ) msacceleration a→ =  3.5 i^+1.7 j^ ms2Let  i^ denotes the…

Q: We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The…

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Q: Part A)  A projectile is launched with speed v0v0 and angle θθ. Derive an expression for the…

A: We use equation of y to solve the problem

Projectile Motion