r (t) = (3t cos t)j– (3t sin t) k , is the position Given that vector of a moving particle, find the following quantities: 1. The velocity, speed, acceleration, and curvature of the particle, 2. The tangential and normal components of acceleration of the particle.

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A: Given, r(t)=lnsecti^+tj^

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A: Given: The position of the particle is  rt=secti+tantj+43tk…

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A: The initial position of the ion is  ri→=5.0 i-6.0 j+2.0 kThe final position of the ion rf→=-2.0…

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

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A: At point :

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

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A: Vector.

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A: given that  r = (3t3 - 2t)i + (2t+1)j

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A: According to question we need to find--- at which time the velocity of the object will be zero?

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A: The two vectors are given as, F→=10ar-3aθ+5aϕ, and G→=2ar+5aθ+3aϕ. TO DETERMINE: (a) The dot product…

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A: Given data: r=5t+7 m i^+2t3-10t2 m j^

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A: Given that ,                 pursue at radius (rp)=2m                 wallet at radius (rw)=3m…

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A: This question contains five subparts. According to guideline I solve only first thee subparts.

Q: Given vector U=2i+3j°and vector W=5j, , what is 3U+W? O 6i+14f O lli-9j O 6i-14j O lli+9j

A: Given data:  U = 2i + 3j W = 5j Required: 3U + W

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