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Particle Motion

Particle Motion. Section 10-3-C. Is the rate at which the x-coordinate is changing with respect to time or the velocity of the particle in the horizontal direction. Is the rate at which the y-coordinate is

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Particle Motion

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  1. Particle Motion Section 10-3-C

  2. Is the rate at which the x-coordinate is changing with respect to time or the velocity of the particle in the horizontal direction. Is the rate at which the y-coordinate is changing with respect to time or the velocity of the particle in the vertical direction. Velocity and Speed

  3. The speed of the particle or the magnitude (length) of the velocity vector is given by Speed of the particle Pythagorean Theorem

  4. The length of the arc (or arc length) of the curve from t = a to t = b or the distance traveled by the particle from t = a to t = b. is given by Distance traveled by the particle

  5. 1) A particle moves in the xy-plane so that at any time t, t ≥ 0, the position of the particle is given by Find the speed when t = 1

  6. A particle moves in the xy-plane so that at any time t, the position of the particle is given by a) Find the speed of the particle when t = 3

  7. 2) b) Find the distance traveled by the particle

  8. A particle moves in the xy-plane so that The path of the particle intersects the x-axis twice. Write an expression that represents the distance traveled by the particle between the two x-intercepts.

  9. Home Work Worksheet: 10-3-C

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