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.

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. A further look at the position-time graph reveals that the object starts with a small velocity slow and finishes with a large velocity fast. Since the slope of any position vs. Finally, the negative slope of the line indicates a negative i. Observe that the line on the graph is a straight, diagonal line.

A particle is falling freely under gravity

We are here probably considering a small sphere falling slowly through a viscous liquid, with laminar flow around the sphere, rather than a skydiver hurtling through the air. In the latter case, the airflow is likely to be highly turbulent and the resistance proportional to a higher power of the speed than the first. The equation of motion is. To obtain the first time integral, we write the equation of motion as.

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An interesting application of Equation 3.

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