A particle moving along the x axis has a position given by x = 54t - 2.0t3 m. At the time t = 3.0 s, the speed of the particle is zero. Which statement is correct?
A)The particle remains at rest after t = 3.0 s.
B)The particle no longer accelerates after t = 3.0 s.
C)The particle can be found at positions x

Question

A particle moving along the x axis has a position given by x = 54t - 2.0t3 m. At the time t = 3.0 s, the speed of the particle is zero. Which statement is correct?
A)The particle remains at rest after t = 3.0 s.
B)The particle no longer accelerates after t = 3.0 s.
C)The particle can be found at positions x < 0 m only when t < 0 s.
D)All of the above are correct.
E)None of the above is correct.

Quizplus · Accepted Answer

The speed is zero at t = 3.0 s, but the particle does not remain at rest or stop accelerating after this time. The position function allows for x < 0 m at t > 0 s.

A Particle Moving Along the X Axis Has a Position