Question

The relation between range and maximum heights is

Answer 1

Explanation:

let angle of projectile with horizontal be x

we know that

R=(2(u^2)sinx.cosx)/g. 1

from equation of motion

v^2-u^2=2as

for y axis

v at max height=0 u =ucosx

let h be maximum height

=> -(u^2)cos^2(x)=. -2gh

(2h/cosx)=(u^2)cosx/g. 2

from 1 and 2

=>R=(4sinx . h)/cosx