Theory Explanation of Numerical 2.5 In Numerical 2.5, an object is moving with uniform (constant) acceleration. You are told how its speed changes over a certain period of time, and you are usually asked to find how far it travels during this motion. ✔ What physical situation does the numerical describe? The object begins moving with some speed (sometimes from rest, sometimes from a given velocity). Its speed keeps increasing at a steady rate, which means the acceleration is the same at every moment. Because the speed keeps rising evenly, the object covers greater and greater distances in each following second. ✔ What is the key concept? This numerical helps explain how an object behaves when it is under uniform acceleration, such as: A car increasing its speed smoothly, A ball rolling down a slope, Any body whose velocity rises evenly with time. When the velocity increases regularly, the distance covered also changes in a predictable way. ✔ Why does the object cover more distance over time? At the beginning: The object is moving slowly, so it covers only a small distance in each second. As time passes: Its speed becomes higher, so it covers more distance in each second. This gradual increase in distance covered is a natural result of the object’s steadily increasing speed. ✔ What are we asked to find in this numerical? You are usually asked to determine the total distance traveled while the object is speeding up. This is done by understanding: How the velocity changes from the start to the end, How long the object continues to accelerate, How increasing speed affects the distance covered. ✔ Why do we study such situations? This numerical teaches important ideas about motion: Objects do not cover equal distances when their speed is changing. When the speed increases uniformly, the total distance can be predicted. Many real-life motions—cars accelerating, falling objects (ignoring air resistance), rolling objects—behave in this way.