Question

Two stones are thrown vertically upward direction with their initial U1 and U2. Prove that height reached by the stones in the ration (U1×U1):(U2×U2)

Answer 1

Using v^2 = u^2 + 2as

final velocity at the highest point, v = 0
0 = U1^2 - 2gh1
U1xU1 = 2gh1

0 = U2^2 - 2gh2
U2xU2 = 2gh2

so, h1:h2 = (U1×U1):(U2×U2)