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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Presentation Transcript
slide2
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
slide5
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?

slide6
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.

slide7
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?

slide8
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

slide9
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.

slide10
An object is moving along the x-axis

according to

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

slide11
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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