A particle is falling freely under gravity

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A particle is falling freely under gravity

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A particle is falling freely under gravity. In frist t secnd it covers distance d 1 and in the next t second it covers distance d 2 , then t is given by :. A particle starting from rest travels a distance x in first 2 seconds and a distance y in next two seconds, then. A stone falls freely under gravity. It covered distances h 1 , h 2 and h 3 in the first 5 seconds. The next 5 seconds and the next 5 seconds respectively. The relation between h 1 , h 2 and h 3 is :.

Falling objects form an interesting class of motion problems. For example, we can estimate the depth of a vertical mine shaft by dropping a rock into it and listening for the rock to hit the bottom. By applying the kinematics developed so far to falling objects, we can examine some interesting situations and learn much about gravity in the process. The most remarkable and unexpected fact about falling objects is that, if air resistance and friction are negligible, then in a given location all objects fall toward the center of Earth with the same constant acceleration , independent of their mass. This experimentally determined fact is unexpected, because we are so accustomed to the effects of air resistance and friction that we expect light objects to fall slower than heavy ones. In the real world, air resistance can cause a lighter object to fall slower than a heavier object of the same size. A tennis ball will reach the ground after a hard baseball dropped at the same time. It might be difficult to observe the difference if the height is not large. Air resistance opposes the motion of an object through the air, while friction between objects—such as between clothes and a laundry chute or between a stone and a pool into which it is dropped—also opposes motion between them. For the ideal situations of these first few chapters, an object falling without air resistance or friction is defined to be in free-fall.

A particle is falling freely under gravity

Early in Lesson 1 it was mentioned that there are a variety of means of describing the motion of objects. One such means of describing the motion of objects is through the use of graphs - position versus time and velocity vs. In this part of Lesson 5, the motion of a free-falling motion will be represented using these two basic types of graphs. Observe that the line on the graph curves. As learned earlier , a curved line on a position versus time graph signifies an accelerated motion.

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An interesting application of Equation 3. For example, we can estimate the depth of a vertical mine shaft by dropping a rock into it and listening for the rock to hit the bottom.

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