Position velocity and acceleration
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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

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Position velocity and acceleration

Position, Velocity, and Acceleration

Review- 3-C


Position velocity and acceleration

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


Position velocity and acceleration

  • 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?


Position velocity and acceleration

  • 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.


Position velocity and acceleration

  • 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?


Position velocity and acceleration

  • 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


Position velocity and acceleration

  • An object is moving along the x-axis according to

    for t ≥ 0 find all intervals during which the object is moving in a positive direction.


Position velocity and acceleration

  • An object is moving along the x-axis

    according to

    for 0≤ t ≤ 6 find the intervals during which the object is speeding up.


Position velocity and acceleration

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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