An object projected vertically upward with initial speed V 0 attains a max heigh

Question

An object projected vertically upward with initial speed V0 attains a max height h above its launch point. Another object projected up with initial speed 2vo from the same height will attain a maximum height of: a) 4h b)3h c)2h d)h (Air resistance is negligible) An object projected vertically upward with initial speed V0 attains a max height h above its launch point. Another object projected up with initial speed 2vo from the same height will attain a maximum height of: a) 4h b)3h c)2h d)h (Air resistance is negligible)

Explanation / Answer

answer:(a)
the maximum hight of the vertically projected body,                                  H max = u^2/ 2g                                hmax prapotional to u^2   (g = constant)                                 h1/h2 = (u1/u2)^2                                 h/ h2 = (v0/2v0)^2                                          = 1/4      therefore h2 = 4h

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