As you look out of your dorm window, a flower pot suddenly falls past. The pot is visible for a time t, and the vertical length of your window is Lw. Take down to be the positive direction, so that downward velocities are positive and the acceleration due to gravity is the positive quantity g.

Assume that the flower pot was dropped by someone on the floor above you (rather than thrown downward).

From what height h above the bottom of your window was the flower pot dropped?

Express your answer in terms of Lw, t, and g.

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Consider that the velocity of the flower pot when it reaches thetop of the window is v.Distance travelled in time t = LwUsing the formula, Lw = vt + 1/2gt2vt = Lw - 1/2 gt2v = Lw/t - 1/2 gt           ...(1)Consider that the flower pot is dropped from d distance abovethe top of the window, such that d + Lw = hThe initial velocity, u = 0Final velocity = vDistance trave ... See the full answer