please explain the answer 4 this qstn

4. The figure shows three paths for a football kicked from ground level. Ignore the effects of air resistance.
(a) Derive an equation for the maximum height of projectile. 
(b) Rank the paths according to 
(i) initial horizontal velocity component, and (ii) initial speed, greatest first.

Dear Student,

(a)
 
(b)
(i) 3,2,1
(ii) 3,2,1

Regards

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