A cat rides a merry-go-round turning with uniform circular motion. At time t1 = 2.20 s, the cat's velocity is (3.80 m/s) i^ + (3.40 m/s) j^, measured on a horizontal xy coordinate system. At t2 = 5.10 s, its velocity is (-3.80 m/s) i^ + (-3.40) j^. What are (a) the magnitude of the cat's centripetal acceleration and (b) the magnitude of the cat's average acceleration during the time interval t2 – t1, which is less than a period of the motion?

Q: A squirrel has x- and y- coordinates (-2.0m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m) at…

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Q: A squirrel has x- and y- coordinates (-2.0 m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m)…

A: Given Coordinates at t=0 sec are (-2.0 m, 4.2 m) Coordinates at t=4 sec are (4.4 m, -1.8 m)

Q: A particle travels clockwise around a circular path as shown below. The speed of the particle is…

A: See below

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Q: The acceleration of a particle moving only on a horizontal xy plane is given by d = 6tî + 7tj, where…

A: The given values are, a→=6ti^+7tj^ m/s2r→=15.0i^+35.0j^ mv→=6.40i^+3.30j^ m/st=5.60 s

Q: Cars A and B are traveling along the circular track. The speed of car A is constant at V₁ = 60 mi/h.…

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Q: A projectile is thrown with an initial speed v0 =116m/s at an angle θ =290 as shown in the figure.…

A: The horizontal component of the initial speed is given as,

Q: 1- A cat rides a merry-go-round turning with uniform circular motion. At time 1 = 2.00 s, the cat's…

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Q: The velocity of a particle is given by v = {16t²i + 4t³j + (5t +2)k}m/s, where t is in seconds. If…

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Q: A speedboat moves on a lake with initial velocity vector Vix average acceleration of aav,x = -0.104…

A: Given Data:The initial velocity vector in the x-direction is, v1,x=9.37 m/sThe initial velocity…

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Q: In pursuit of both adventure and treasure, the pirate Jack Sparrow sails his ship on the open ocean.…

A: The ship starts at x= +400 km, y= -200km and undergoes three displacements D1, D2 and D3. Initial…

Q: 3. A particle moves according to the position vector F(t) = cos ti+ sin 3t j+ 2t k, where the…

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Q: When a rocket reaches an altitude of a meters, it begins to travel along the parabolic path as shown…

A: Write the given data: equation of motiony-a2=bx    ⋯⋯1wherea=40mb=154c=209 m/sh=93mlet the component…

Q: Q1- A particle starts to moves from origin at the curved Path y=(3 sin4 (x²y) + y³x) m With initial…

A: Motion perpendicular are independent of each other. Motion can be uniform or accelerated. Motion is…

Q: you wake up in a strange room, and this time you drop a ball from a height of 1.79 m above the…

A: Given data:  Initial velocity (Vi) = 0 m/s Height (h) = 1.79 m Time (t) = 0.242 s Required:…

Q: An object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time…

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Q: The position vector 7 = (3.50t)î + (et + ft²) locates a particle as a function of time t. Vector is…

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Q: = At time to = 0s, a jogger is heading due east with speed Vo = 1.4 m/s. At time t₁ = 3.0s, she is…

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Q: The position of a dragonfly that is flying parallel to the ground is given as a function of time by…

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Q: A particle starts from the origin at t = 0 with a velocity of 7.8 and moves in the xy plane with a…

A: Solution:-Given thatInitial velocity (u→)=(7.8 j^) m/sacceleration (a→)=(4.4 i^+3 j^) m/s2x…

Q: A particle travels along a straight-line path (y 1.7 x). If the x component of the particles…

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Q: A cannon sits on a horizontal plain, angled up at 35°. A cannonball is fired with a velocity of 100.…

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Q: You and your friend Mahmood are walking in the Qurum Natural Park. You both first walk 2.0 km north…

A: Average velocity for the whole trip. given, d1=2 km  (north)d2=1 km (south)t1=30 minute=0.5 hrt2=30…

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

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Q: velocity

A: Given: Acceleration of the object is given by the equation, A=(3t2+3t)i+(7t3+6)j At time = 0…

Q: The position vector of a particle moving in the xy-plane is given by (At, Bt¹) r = where t is the…

A: Given:Position vector:r= (4.5t, 8.0t4)  a) Magnitude of particle displacement at t = 2 s:r = (4.5t,…

Q: A particle r = (2t3+ 3t) i + (4 - 5t2) j - t4 k Position depending on time given position moves with…

A: Given quantities: position vector (r) = ( 2t3 + 3t ) i + ( 4 - 5t2 ) j - t4 k   Let, the distance…

Q: An automobile travels along the circular path of radius 35 m such that its speed is increased by a =…

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Q: Cylinder B has a downward velocity in feet per second given by vB = 0.75t2 + 0.45t3, where t is in…

A: The downward velocity of cylinder B is vB = 0.75t2 + 0.45t3.The time is 2.46 sec.

Q: The race car has an initial speed VA = 15 m/s. If it increases its speed along the circular track at…

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Q: A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of…

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Q: Lately, Jason has been taking drivers' ed so that he can get his license. However, he's also been…

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Q: y hmax

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Q: 30. In an assembly operation illustrated in Figure P3.30, a robot moves an object first straight…

A: The one-quarter of a circle lies on the east-west vertical plane of radius is given as, r1 = 4.80…

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Projectile Motion