The range of a projectile thrown horizontally is said to be dependent to the following quantities 'R'~f(v. H, g, m). Derive an expression for R in terms of v, H, g and m.

(I got R = V^2/g but I know if I am just correct because I don't really know the formula for the range of projectiles, can somebody verify?) Thanks!

Question

The range of a projectile thrown horizontally is said to be dependent to the following quantities 'R'~f(v. H, g, m). Derive an expression for R in terms of v, H, g and m.

(I got R = V^2/g but I know if I am just correct because I don't really know the formula for the range of projectiles, can somebody verify?) Thanks!

ganeshie8 · Answer

Dont you think range should depend on Height from which u throw the object horizontally ?

ganeshie8 · Answer

|dw:1380097325407:dw|

yttrium · Answer

Yes. I know that, but we are required to depend our solution using dimensional analysis.

ganeshie8 · Answer

then its ral easy, just match left side dimensions wid right side

yttrium · Answer

No. Expression is really not give, expression is what we need to find.

ganeshie8 · Answer

clearly, in ur equation, 
left side units are not matching right side

ganeshie8 · Answer

I get the question. you need to start wid some function, and tweak the units to matchup

ganeshie8 · Answer

??

yttrium · Answer

Is this what you mean
[R] = L
[v] = LT^-1
something like this?

yttrium · Answer

@ganeshie8