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Unformatted text preview: 3) and the line x =2 + t , y = t , z =1 + 2 t . 3. (a) (10 points) Find the position and velocity vector functions of a particle that moves with an acceleration function a ( t ) = h , ,10 i m/sec 2 , knowing that the initial velocity and position are given by, respectively, v (0) = h , 1 , 2 i m/sec and r (0) = h , , 3 i m . (b) (5 points) Draw an approximate picture of the graph of r ( t ) for t ≥ 0. 4. (10 points) Reparametrize the curve r ( t ) = ¿ 3 2 sin( t 2 ) , 2 t 2 , 3 2 cos( t 2 ) À with respect to its arc length measured from t = 1 in the direction of increasing t . (Just in case you read it too fast, we repeat: starting at t = 1.)...
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 Spring '08
 Helton
 Math, Velocity, velocity vector functions

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