Ch3-4WS - Mrs Waldron Ch 3.4 Worksheet BC Calculus 1 The...

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Mrs. Waldron BC Calculus Ch 3.4 Worksheet 1. The position (x-coordinate) of a particle moving on the horizontal line y = 2 is given by x(t) = 4t 3 -16t 2 + 15t for t 0. a.) Graph the parametric equations x 1 (t) = 4t 3 – 16t 2 + 15t, y 1 (t) = 2 in [-4,6] by [-3,5]. Use TRACE to describe the movement of the particle. b.) Graph the parametric equations x 2 (t) = x 1 (t), y 2 (t) = t in the same viewing window. Explain how this graph shows the back and forth motion of the particle. Use this graph to find when the particle reverses direction. c.) Graph the parametric equations x 3 (t) = t, y 3 (t) = x 1 (t) in the same viewing window. Explain how this graph shows the back and forth motion of the particle. Use this graph to find when the particle reverses direction. d.) Use the methods in parts 1, 2, and 3 to represent and describe the velocity of the particle.
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2. 1983 AB 2 Scientific Calculator A particle moves along the x-axis so that at time t its position is given by x(t) = t 3 – 6t 2 + 9t + 11.
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