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Find the velocity of a particle with the given position function. r (t) = {image}

1. 2. 3. 4. Find the velocity of a particle with the given position function. r (t) = {image}. v ( t ) = {image} v ( t ) = {image} v ( t ) = {image} v ( t ) = {image}. 1. 2. 3. 4. Find the speed of a particle with the given position function. r ( t ) = {image}. |v ( t )| = {image}

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Find the velocity of a particle with the given position function. r (t) = {image}

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  1. 1. 2. 3. 4. Find the velocity of a particle with the given position function. r (t) = {image} • v ( t ) = {image} • v ( t ) = {image} • v ( t ) = {image} • v ( t ) = {image}

  2. 1. 2. 3. 4. Find the speed of a particle with the given position function. r ( t ) = {image} • |v ( t )| = {image} • |v ( t )| = {image} • |v ( t )| = {image} • |v ( t )| = {image}

  3. 1. 2. 3. 4. Find the position vector of a particle that has the given acceleration and the given initial velocity and position. a( t ) = - 4 k, v (0) = i + j - 3 k, r (0) = 10 i + 8 j • r ( t ) = {image} • r ( t ) = {image} • r ( t ) = {image} • r ( t ) = {image}

  4. 1. 2. 3. 4. What force is required so that a particle of mass m has the following position function? r ( t ) = {image} • F ( t ) = 60 t i + 14 j + 54 t k • F ( t ) = {image} • F ( t ) = m (60 t i + 14 j + 54 t k) • F ( t ) = {image}

  5. 1. 2. 3. 4. A ball is thrown at an angle of 15 {image} to the ground. If the ball lands 150 m away, what was the initial speed of the ball? Here g = 9.8 {image} . • v0 {image} 27.1 m/s • v0 {image} 18.1 m/s • v0 {image} 108.4 m/s • v0 {image} 54.2 m/s

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