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Proof that a projectile comes to rest in a finite distance
- Thread starter dk123
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In summary, the question is about proving that a projectile in a two-dimensional trajectory motion will come to rest in a finite distance when its initial velocity is greater than 0. The relevant equations for this problem are the Projectile Motion Equation and the Equation of Motion. The conversation also clarified that the equations provided earlier were for a projectile falling through a medium with linear drag, which would not result in the projectile coming to rest. The person asking the question was asked to provide the complete statement of the problem before further help can be given.
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The equations you posted look like falling through a medium with linear drag. That is clearly not going to come to rest in consequence of those equations. It will come to rest, one presumes, when it lands.dk123 said:
Please post the exact question as given to you.
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dk123
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I fixed the question!haruspex said:
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SammyS
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dk123 said:
What have you tried?
Where are you stuck?
According of rules of this forum, you must show an attempt at solving/understanding the problem before we can give any help.
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Only partly. You have posted some equations and your own paraphrase of the question. This still does not make sense since it is obvious from those equations that it will not come to rest in the y direction.dk123 said:
Please post the complete statement of the question as provided to you.
What is a projectile?
A projectile is any object that is thrown or launched into the air and is affected by gravity. Examples of projectiles include a baseball, a cannonball, or a rocket.
What does it mean for a projectile to come to rest in a finite distance?
This means that the projectile will eventually stop moving and reach a final position after being launched. It will not continue to travel indefinitely.
What factors affect the distance a projectile travels?
The distance a projectile travels is affected by its initial velocity, the angle at which it is launched, and the force of gravity acting on it. Other factors such as air resistance and wind can also play a role.
How can you prove that a projectile comes to rest in a finite distance?
One way to prove this is by using mathematical equations and principles, such as the equations of motion and the concept of terminal velocity. By plugging in the values for a specific projectile, you can calculate the distance it will travel before coming to rest.
Why is it important to understand the concept of a projectile coming to rest in a finite distance?
Understanding this concept is important for various fields of science, such as physics and engineering. It allows us to accurately predict the motion of objects and design systems that involve projectiles, such as bridges, airplanes, and sports equipment.
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