Two tall buildings are 40 m apart. With what speed must a ball be thrown horizontally from a window 145 m above the ground in one building, so that it will enter a window 22 . 5 m above from the ground in the other?

Question

Two tall buildings are 40 m apart. With what speed must a ball be thrown horizontally from a window 145 m above the ground in one building, so that it will enter a window 22 . 5 m above from the ground in the other?, 5 m s - 1, 8 m s - 1, 10 m s - 1, 16 m s - 1

MARKS App · Accepted Answer

Given, u x = v and u y = 0 Separating the motion in x and y directions Using x = u x t + 1 2 a t 2 40 = v t (i) ⟹ t = 40 v (ii) y = h net = 145 - 22.5 Using y = u y t + 1 2 a t 2 122.5 = 0 + 1 2 × 10 t 2 122.5 = 5 40 v 2 v = 40 5 122.5 = 8 m s - 1

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