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Position, Velocity , and Acceleration. Review- 3-C . Position : Velocity : Acceleration : . Acceleration vs Velocity. If the signs are the same, then the particle’s speed is increasing If the signs are opposite, then the particle’s speed is decreasing

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Position velocity and acceleration

Position, Velocity, and Acceleration

Review- 3-C


Position:

Velocity:

Acceleration:


Acceleration vs velocity
Acceleration vs Velocity

  • If the signs are the same, then the particle’s speed is increasing

  • If the signs are opposite, then the particle’s speed is decreasing

  • If the velocity is zero and acceleration is not zero, then the particle is momentarily stopped and changing directions.


Velocity
Velocity

  • If v(t) > 0 then the particle is moving to the right

  • If v(t) < 0 then the particle is moving to the left

  • If v(t) = 0 then the particle has momentarily stopped or is changing directions


  • The position of a particle moving along the x - axis at time t is given by

    for 0≤ t ≤ 20

    a) Determine when the particle is moving to the left?


  • The position of a particle moving along the x - axis at time t is given by

    for 0≤ t ≤ 20

    b) Determine when the particle changes direction and find its position.


  • The position of a particle moving along the x - axis at time t is given by

    for 0≤ t ≤ 20

    c) Determine when the particle is speeding up?


  • The position of a particle moving along the x - axis at time t is given by

    for 0≤ t ≤ 20

    d) find the total distance travelled




4) If find the total distance traveled by the particle on the interval (0,4).


Home work
Home Work

Worksheet on position, velocity and acceleration.


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