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EX. A particle travels in space. Please see attachment. EX : A Particle travels along a Path in Space - The Position of the particle

EX. A particle travels in space. Please see attachment.

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EX : A Particle travels along a Path in Space - The Position of the particle at the time t seconds after start is given by r ( t) = ( t, cos 2t, sin 2t ) . the unit on the coordinate axes is meters. 1) Calculate the Velocity & acceleration of the particle at any time t> 0. Is the velocity & acceleration at right angle with each other? 2) How far does the particle travel during the first second after starting

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