Question

a body is projected so that is has maxmum range R . what is the maxmum height reached during the flight?

Answer 1

this question is based on concept of projectile .

according to oblique projectile ,

Range (R) = u^2sin2¢/g

and Height (H) = u^2sin^2¢/2g

where u is initial velocity and ¢ is initial inclination of velocity with horizontal.

R = u^2sin2¢/g is maximum only when ,

sin2¢ =1

means ¢ = 45°

hence R = u^2/g

now H = u^2/4g. {by putting ¢ = 45°

now compare H and R

hence , H = R/4

hence, maximum height =R/4