Final answer:
The correct formula for an object's velocity with constant acceleration in one dimension is v = u + at, where u is the initial velocity, a is acceleration, and t is time.
Step-by-step explanation:
The correct formula that describes the velocity v of an object moving in one dimension with a constant acceleration a over time t, starting from an initial velocity u, is: v = u + at. This is a general relationship for velocity, acceleration, and time and has been derived both graphically and algebraically from other motion equations in the topic of Motion Equations for Constant Acceleration in One Dimension. This formula indicates that the final velocity v is the sum of the initial velocity u and the product of acceleration a times time t.