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A $\mathbf{A}$ world record. In the shot put, a standard track-and- field event, a 7.3 $\mathrm{kg}$ object (the shot) is thrown by releasing it at approximately $40^{\circ}$ over a straight left leg. The world record for distance, set by Randy Barnes in $1990,$ is 23.11 $\mathrm{m} .$ Assuming that Barnes released the shot put at $40.0^{\circ}$ from a height of2.00 $\mathrm{m}$ above the ground, with what speed, in $\mathrm{m} / \mathrm{s}$ and mph, did he release it?

14.4 $\mathrm{m} / \mathrm{s}$32.2 $\mathrm{mph}$

Physics 101 Mechanics

Chapter 3

Motion in a Plane

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

University of Michigan - Ann Arbor

Simon Fraser University

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.

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we have an angle of launch of 40 degrees. We have a world record distance of 23.11 meters and then we have a why and why Initial equalling to 0.0 meters. That is where the shot put was thrown. So we can say that Delta X equals the ex initial t plus 1/2 a T square. There isn't any acceleration in the X direction. So this term become zero. And we can say that T equals Delta X divided by the ex initial. And this is equaling 23.11 divided by the initial co sign of 40 degrees. We can also say that the initial T If we move the initial over, we can save the initial T equals 2 30.168 meters. Um so when we're trying to find the why initial the stars of the initial velocity, we can say that why final equals? Why initial plus B y initial T plus 1/2 g t squared, we're plugging. We're just going to simply plug in for these directly. So we have zero equals again. The change and height would be zero here and then there ve y t here, you would simply substitute this. So you substitute this into this. This unit's substitute this term into this equation here and we have zero equals 32.168 and then plus 1/2 again. If we're choosing up to be positive, we have to say that gravity is going to be negative and times t squared. And so we can say that T squared where other tea is something people. The square root of 32.168 divided by a 4.9. And this is giving us 2.9 seconds. So it's in the air for 2.9 seconds. This is not the answer. However, we do need this in order to find the answer, so keep track. And so we can say that the initial equals again. Delta X divided by the the initial he was Delta X. Oh, rather, we can actually better better way to solve this would actually be to use this equation. So once we have a tea, then we can use this equation, save the initial T equals 30 0.168 meters, and then we simply say that the initial equals 30.168 meters, divided by the tea that we've just found 2.9 seconds and this is going to equal 14 0.43 meters per second. Now they want this answer. So this would be the initial velocity of the shot put. Um, given that it achieved a world record distance of 23.11 meters and then they want this in miles per hour. So we simply we can have 14 point for three meters per second. For every one mile, there are 1,609 meters and then there are 36 100 seconds and every one hour. And so we get 2032.29 miles per hour. So this would be our answer in miles per hour. This would be your answering meters per second. That is the end of the solution. Thank you for watching

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