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Position, Velocity , and Acceleration

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Position, Velocity, and Acceleration

Review- 3-C

Position:

Velocity:

Acceleration:

- 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.

- 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).

Worksheet on position, velocity and acceleration.