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I need help from Brilliant friends

Hello all my brilliant friends..This note I published because there is something I really want to learn, I was doing a projectile problem on Brilliant. I was unable to solve it correctly. But I saw a method that was very impressive.

The question was of projectile motion.

And the solution presented was in the form of parabolic equation.

The solution was not so clear to be understood.

But I noticed the same guy had posted another solution for another projectile motion question, .and in the same parabolic equation form.

So please its a request that anyone can explain how to solve projectile question using parabola equations.

Please help me.

Note by Sarvesh Dubey
2 years, 5 months ago

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Solving questions on projectile motion by using its parabolic nature is indeed a beautiful method which simplifies the problem to a great extent . To answer your question , I need to know how comfortable are you in applying concepts of co-ordinate geometry and calculus. Anyways, I'll lay down some points, which might be helpful..

\(\bullet\) The method you are asking for is basically shifting the entire physical system to the Cartesian Co-ordinate system or the \(xy\) plain. This involves forming equations by converting basic geometrical curves( For e.g Inclined planes, the projectile paths etc.) into straight lines and conic sections( circle, parabola , ellipse and hyperbola). This helps as we are reducing the large number of variables into just 2 variables.

\(\bullet\) Calculus comes in when we want to find quantities like slopes( especially for projectile motion) . We can do this by using complete or partial differentiation.You have to use integration when you have to find the length of paths and area under the curves Just learn co-ordinate geometry and calculus properly from your math books. This is a case of pure application which comes only through practice:)

\(\bullet\) Look at Equation of trajectory of the projectile motion and its various forms. This is the direct usage of parabolic equations in physics.

For the problem that you were talking about( from ishan's set), I am aware of 4 different methods to do the same question. Think about elementary plane geometry. It can be done through that too!

Best of Luck!

Samarpit Swain - 2 years, 5 months ago

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Thanks for that.!!!!!! Thank u 😊

Sarvesh Dubey - 2 years, 5 months ago

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Sorry I don't know to make post the link... But yes its the first question of th set of kinemtics set of Ishan tarunesh.... @Mardokay Mosazghi

Sarvesh Dubey - 2 years, 5 months ago

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@sarvesh dubey Can you post the link to the question please? that way i can explain.

Mardokay Mosazghi - 2 years, 5 months ago

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The same of solution for another question is present in that set only... The second Last question has a similar solution...

Sarvesh Dubey - 2 years, 5 months ago

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i havenot solved it yet but i will try

Mardokay Mosazghi - 2 years, 5 months ago

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@Mardokay Mosazghi But how can we solve it by parabola equation...

Sarvesh Dubey - 2 years, 5 months ago

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One second

Sarvesh Dubey - 2 years, 5 months ago

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@Pi Han Goh

Sarvesh Dubey - 2 years, 5 months ago

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Please reserve @ mentions for targeting of specific people when you know that they will be interested. For notes like this, just let it appear naturally in their feed, they will reply if they see it. Avoid mass targeting @ mentions like this, and do your best to limit it to under 5 people.

Calvin Lin Staff - 2 years, 5 months ago

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Okk....srry for that!!!

Sarvesh Dubey - 2 years, 5 months ago

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