What is the Maximum Range of a Fired Shot from a Launcher?

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Homework Help Overview

The discussion revolves around determining the maximum range of a projectile launched from a height of 300 meters, specifically focusing on a ball weighing 30 kg. The context includes concepts from energy, momentum, and projectile motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the maximum range using a 45° launch angle and discusses the velocity components derived from a vertical launch. Other participants question the necessity of calculating velocity components and seek clarification on the relationship between launch angle and initial speed.

Discussion Status

Participants are exploring different interpretations of the problem, with some suggesting that the initial speed remains constant regardless of the launch angle. There is acknowledgment of a potential answer of 600 meters, but no consensus on the correctness of the calculations has been reached.

Contextual Notes

There are indications of confusion regarding the application of formulas and the relationship between height, velocity, and range. The original poster's calculations and assumptions are under scrutiny, and the discussion reflects a mix of understanding and uncertainty about the projectile motion concepts involved.

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Homework Statement



A launcher fires a ball that weighs 30kg straight up to a height of 300m. What is the maximum range of the ball could be fired at?

Homework Equations


V^2 = V^2-2(a)(d)
R = ( V02 Sin2θ ) / g

The Attempt at a Solution



To find the maximum range i know that it has to be fired at a 45° angle.
It is in our energy and momentum etc. unit, practice so I am guessing equations relevant to that is what i must use.
I used this equation to find the Velocity when fired straight up. Which i got 76.68 m/s. Which if i drew a triangle to show the projectory, would be my height. I then used 76.68SIN(45°) to get 54.22 m/s. Which is my x & y velocity. Then i used the range formula to get 300 m.
Is anything wrong with my work, shouldn't it be a different answer than 300m.
 
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What is the initial speed?
What is the expression for the maximum range?
You don't really need to calculate the components of the velocity if you already know the formula for the range.
 
So the initial speed no matter the angle you fire at will all be the same?
 
I believe i ended up getting it. answer 600m
 
Yes, this looks OK.
 

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