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# Position, Velocity , and Acceleration PowerPoint PPT Presentation

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

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

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

### 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

• 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.

• An object is moving along the x-axis

according to

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

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

### Home Work

Worksheet on position, velocity and acceleration.