Question

a person can throw a particle to maximum height of hm vertically then the maximum distance up to which he can throw the partial horizontally.

need step by step answer
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Answer 1

Ans is 2h

It is a very important concept...so i will advise you to learn it as it is...

Let,

*****I can throw to x distance in horizontal.

Then in vertical direction i can throw half of this i.e. x/2******

Hope you know that horizontal distance is called range

(denoted by -R ) ...i have used it in attachement.

Then also ,for step by step explanation,refer pic

Answer 2

R = 2H ...... answer

for

theta = 45°

value of R will be maximum.