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(II) A falling stone takes 0.33 s to travel past a window2.2 $\mathrm{m}$ tall (Fig. $44 ) .$ From what height above the top of thewindow did the stone fall?

$1.3 \mathrm{m}$

Physics 101 Mechanics

Chapter 2

Describing Motion: Kinematics in One Dimension

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

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Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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(II) A falling stone takes…

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(III) A falling stone take…

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A stone was dropped off a …

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(I) A stone is dropped fro…

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A falling object travels o…

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A stone is dropped from a …

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A stone is dropped from th…

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A freely falling object re…

so here downwards is positive and we're going to say that the initial position is zero meters and this is where the height from which the stone is dropped. So if this is the height from which the stone has dropped, we can say that the location of the top of the window is gonna be why sub dub. So should we talk of window? And we can say that the time for the stone to fall from release to the top of the window is t sub W again, the stone has dropped from rest and we're going to use equation to 12 b Ah, and this is gonna equal why w equals why initial plus view initial t plus 1/2 of g t w squared. This is gonna equal zero. This is an equal zero. Therefore, this is simply 1/2 g t w square. Now, at this point, we can say that the location of the bottom of the window is going to be why sub dub plus 2.2 meters. And this is also going to equal why initial plus v y initial t plus 1/2 g. Now here it would be t W plus 0.33 seconds because it takes 0.33 seconds to past that window. So now we can substitute this into here and we're going to say that 1/2 g T w squared plus 2.2 meters. This is gonna equal again. This is zero. This is zero. So this is gonna equal 1/2 g. T said w put plus 0.33 seconds quantity squared. And now we can solve for T's of W so you can use use the sole function on your tea I 84 85 or 99. Ah, this is gonna equal point 515 seconds. And so, if we want to find the height above the top of the window from which the stone was dropped, we can say that why w used this equation now and substitute for T. W. So why W would be equal to 1/2 times 9.80 mediocre second again, gravity in this case is positive because we chose downwards to be positive. And then this will be multiplied by 0.515 seconds. Quantity squared. So the stone was dropped from a height of 1.3 meters and this would equal Y w. That is the end of the solution. Thank you for watching.

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