Rectilinear Motion

At time t = 4/π, is the particle moving toward the origin or away from the origin? Give a reason for your answer.

• The particle is moving toward the origin.

• The particle is moving away from the origin.

Find lim t→∞ v(t). Show the work that leads to your answer.

• lim t→∞ v(t) = 0

• lim t→∞ v(t) = 1

• lim t→∞ v(t) = ∞

• lim t→∞ v(t) does not exist

• The particle is moving to the right only if 0 < t < a.

• The particle is moving to the right only if a < t.

• The particle is moving to the right only if t = a.

• The particle is not moving to the right.

A particle traveling on the x-axis has position x(t) at time t. The graph of the particle’s velocity v(t) is shown above for 0 ≤ t ≤ 5. Which of the following expressions gives the total distance traveled by the particle over the time interval 0 ≤ t ≤ 5?

• x(0) - x(5)

• x(5) - x(0)

• (x(3) - x(0)) + (x(3) - x(5))

• (x(0) - x(3)) + (x(5) - x(3))

• t = 2

• t = 4

• t = 9/2

• t = 5

A particle traveling on the x-axis has position x(t) at time t. The graph of the particle’s velocity v(t) is shown above for 0 ≤ t ≤ 4. Which of the following expressions gives the total distance traveled by the particle over the time interval 0 ≤ t ≤ 4?

• x(0) - x(4)

• x(4) - x(0)

• (x(0) - x(2)) + (x(4) - x(2))

• (x(2) - x(0)) + (x(2) - x(4))

• t = 3

• t = 6

• t = 13/2

• t = 7