When a body moves with an acceleration that is not uniform, it means that the magnitude or direction of the acceleration is changing with time or position. In such cases, the body's motion becomes more complex and can exhibit a variety of behaviors depending on the nature of the non-uniform acceleration.
Here are a few possible scenarios:
Changing Magnitude of Acceleration: If the magnitude of the acceleration changes while the direction remains constant, the body's speed will vary over time. For example, if the acceleration decreases over time, the body will gradually slow down. Conversely, if the acceleration increases, the body will speed up.
Changing Direction of Acceleration: If the direction of the acceleration changes, the body will change its velocity vector accordingly. This can result in curved or nonlinear motion. For instance, if the acceleration acts perpendicular to the velocity, the body will undergo circular motion.
Combination of Changing Magnitude and Direction: In more complex scenarios, both the magnitude and direction of the acceleration can change simultaneously. This can lead to intricate motion patterns. One example is projectile motion, where an object is subject to gravity (a uniform acceleration) and a horizontal velocity that remains constant.
In summary, when a body experiences non-uniform acceleration, its motion becomes more intricate and dynamic, with changes in speed, direction, or both. Analyzing such motion often requires more advanced mathematical techniques and principles, such as calculus or vector analysis.