POSITION, VELOCITY, AND ACCELERATION

Review- 3-C

Position:

Velocity:

Acceleration:

x(t)

v(t) x (t)

a(t) v (t) x (t)

)()(dtdxtxtvspeed

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

1) 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?

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1) 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.

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1) 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?

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1) 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

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2) 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.

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3) An object is moving along the x-axisaccording to

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

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

24 8)( tttx

HOME WORKWorksheet 3-B position, velocity and acceleration.