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(II) Suppose you adjust your garden hose nozzle for a hardstream of water. You point the nozzle vertically upward at aheight of 1.5 $\mathrm{m}$ above the ground (Fig. 45). When you quickly turn off the nozzle, you hear the water striking the ground next to you for another2.0 $\mathrm{s}$ . What is the water speed as it leaves the nozzle?

9.1 m/s

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

Cornell University

University of Sheffield

McMaster University

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.

02:08

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07:11

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So in this problem we're looking for Ah, the velocity. Which water exits a hose. And we know that the hose starts at a height. Listen, starting of 1.5 meters above the ground and it's gonna end at zero because we're hitting the ground. So we're adults. Why here is why minus 10 No, which is zero minus 1.5. So we have minus 1.5 meters. And what else do we know? We know that our total time is two seconds, and we also can figure out that are a It's gonna be minus G. And that should be enough to figure out the problem. So let's use this equation dealt. Why is the zero times t plus 1/2 80 squared? Okay. And now, how does so for B zero? I'm gonna plug in minus g here for a so don't know why. It's a bunch of this. Uh, this should be negative because we're making g. And now just isolate be zero. So zero t is 1/2 g t squared, plus still toe. Why? And we can divide by t We get 1/2 g p squared. Plus don't know why over tea and I will plug in the rest of the numbers. 1/2 G's 9.8 t, we know is too. Delta y hoops is minus 1.5 meters and again our teas same and that gives us our initial velocity is 9.1 meters per second.

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