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.

Easy Math Editor

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Comments

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 - 5 years, 11 months ago

Thanks for that.!!!!!! Thank u 😊