Find the final velocity of the mass if it is initially moving along the x-axis with a velocity of 1.68 m/s to the left.

To find the final velocity of the mass, we need to clarify whether there are any additional forces acting on the mass (like friction, gravity, or an applied force) or if the mass will continue moving with a constant velocity. However, since the question does not provide any additional information, we will proceed under the assumption that the mass is moving in a uniform motion without any external forces.

1. ### Break Down the Problem

1. Identify initial velocity: The mass has an initial velocity of $v_i = -1.68 \, \text{m/s}$ (to the left).
2. Determine if there are any external influences: In absence of further details, we can assume no forces are acting upon the mass.

2. ### Relevant Concepts

• If there are no external forces, the final velocity $v_f$ will equal the initial velocity $v_i$, based on the principle of inertia (Newton's First Law of Motion).

3. ### Analysis and Detail

Since no forces are acting on the mass, the velocity remains constant:

$v_f = v_i = -1.68 \, \text{m/s}$

4. ### Verify and Summarize

Since the mass is unopposed by forces and continues to move uniformly, the final velocity is verified to remain the same as the initial velocity.

Final Answer

The final velocity of the mass is $-1.68 \, \text{m/s}$ (moving to the left).