An object is projected vertically up from ground at $t = 0$ in the presence of uniform gravity $(g = 10 m / s^{2})$ . It is observed to be at a given height at two instants of time $t = 2 s$ and $t = 4 s$ . Match the column (All values are given in SI unit) :-

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(I) u ( 2 ) − 2 1 ​ ( 10 ) ( 2 2 ) = u ( 4 ) − 2 1 ​ ( 10 ) ( 4 2 ) 2 u − 20 = 4 u − 80 ⇒ u = 30 ⇒ Q (II) H = 2 g u 2 ​ = 20 3 0 2 ​ = 45 ⇒ R (III) t m a x ​ = g u ​ = 3 s s 2 → 3 ​ = 5 , s 3 → 4 ​ = 5 ⇒ s = 10 ⇒ P (IV) T = g 2 u ​ = 10 60 ​ = 6 ⇒ S I → Q, II → R, III → P, IV → S

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JEE Advanced (2028)