Which of the following statements is incorrect? (a) In one...

Which of the following statements is incorrect? (a) In one dimension motion, the velocity and the acceleration of an object are always along the same line. (b) In two or three dimensions, the angle between velocity and acceleration vectors may have any value between $0^{\circ}$ and $180^{\circ}$ (c) The kinematic equations for uniform acceleration can be applied in case of a uniform circular motion.

Which of the following statements is incorrect?
(a) In one dimension motion, the velocity and the acceleration of an object are always along the same line.
(b) In two or three dimensions, the angle between velocity and acceleration vectors may have any value between $0^{\circ}$ and $180^{\circ}$
(c) The kinematic equations for uniform acceleration can be applied in case of a uniform circular motion.

Key Concepts

One Dimensional Kinematics

In one dimensional motion, the position, velocity, and acceleration are confined to a single line. This inherently means that the velocity and acceleration vectors always lie along the same line, either in the same or opposite directions, ensuring a straightforward relation without any components in different directions.

Multidimensional Kinematics

When motion extends to two or three dimensions, vectors such as velocity and acceleration are not limited to one line and can form any angle relative to each other. This allows for more complex motion including components in different directions, and the angle between these vectors can vary continuously between 0° and 180° depending on the nature of the motion.

Uniform Acceleration Equations

The kinematic equations for uniformly accelerated motion are derived under the assumption of constant acceleration in both magnitude and direction. These equations simplify the analysis of motion by providing direct relationships among displacement, velocity, acceleration, and time, but they assume that acceleration does not change its direction during the motion.

Uniform Circular Motion

Uniform circular motion describes the motion of an object moving in a circle at constant speed. Although the speed is constant, the direction of the velocity vector continuously changes, resulting in a centripetal acceleration that is always directed toward the center of the circle. This change in direction means that the standard uniform acceleration equations, which assume constant acceleration in direction and magnitude, do not generally apply to uniform circular motion.

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