Question

What is the maximum height attained by any particle in projectile ?

Answer 1

At the highest point velocity in y direction is 0 so with the help of third equation of motion

H= u^2/2g
$\frac{u {}^{2} \sin( { \alpha }^{2} ) }{2g}$


Hope it helps u

Answer 2

The height at which the velocity of vertical component is zero is the maximum height attained by any particle in a projectile...
Or
The greatest vertical displacement of a projectile during it's journey is called the maximum height..


Hope this helps uh