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hw2 - v = 12 t ˆ i 36 t 2 ˆ j-3 t 2 ˆ k m s The...

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TAM212 Introductory Dynamics Spring 2005 S. Balachandar Homework 2 (1.8, 1.18) 1.8 The displacement vector is given by L = 50 ˆ i + 60ln t ˆ j kg · m / s The rate of change is calculated by simply finding the derivative with respect to time dL dt = 60 t ˆ j kg · m / s 2 The value, at t = 3 s , is found by substituting in above equation dL dt t = 3 = 20 ˆ j kg · m / s 2 1.18 The velocity vector is given as
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Unformatted text preview: v = 12 t ˆ i + 36 t 2 ˆ j-3 t 2 ˆ k m / s The acceleration is the rate of change of velocity and hence a = dv dt = 12 ˆ i-72 t 3 ˆ j-6 t ˆ k m / s 2 Substitute t = 2 s to Fnd the acceleration at that time a | t = 2 = 12 ˆ i-72 2 3 ˆ j-6(2) ˆ k m / s 2 = 12 ˆ i-9 ˆ j-12 ˆ k m / s 2...
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