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A bottle rocket can shoot its projectile vertically to a height of 25.0 $\mathrm{m}$ . At what angle should the bottle rocket be fired to reach its maximum horizontal range, and what is that range? (You can ignore air resistance.)

$\theta_{0}=45^{\circ}$50 $\mathrm{m}$

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

Cornell University

Rutgers, The State University of New Jersey

Hope College

University of Sheffield

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.

12:31

A rocket is launched at an…

02:04

Find the range $R$ and max…

02:10

we can take a mind. The Mac, the the initial velocity off the bottle rocket from its maximum vertical height. Using the question heads it Quito We not scared times sign off. Science scared off. Turn off! Oh, don't be. And this is derived. In example 2.5, The maximum leans off the project. I can be derived from this equation on DH. This's also derived in example 2.5 now then fired. What agony? Tita nod. It's 90 decree because the velocity is open. Nicholas, tow the ground. So, teacher, not this 90 degree on DH. So people do be not scared over duty because sign off 90 degree is one on square off oneness one. So this gives they not to be quite. Do you don't know it off by myself? D h now the maximum range hawkers then sign off twice. He cannot physically do one because you have the note and she to be constant here and you can on the change the elevation angle. So the soccer So the maximum range, of course, when signed off by state or not, is equal to one. And this gives Tina Cheetah not Toby called 45. 60. Now we can use this Salo into this equation on this gives I'm Max to the equal in tow. The not scratch old wash. Look, a sign off tristate on on this one. Now we have to use the value of the knot that they found from Hugh on DH then solve for our mats. So our max will envy Goto Place off t edge which is the value for me not scared that we found in the first part poverty. This is equal flies off. Ah, maximum vertical height. Kindness? Yes, I do 15. So when a project that is fired at a fixed initial speed without a resistance the maximum height that it can achieve this twice the maximum height that it achieves when fired hold. So the maximum range that it can achieve is tries the maximum height that it achieves when fired vertically

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