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 L_w. Take down to be the positive direction, so that downward velocities are positive and the acceleration due to gravity is the positive quantity g.(adsbygoogle = window.adsbygoogle || []).push({});

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

now i need to find the height at which the pot was dropped. im using the equation V_f^2 = v_i^2 + 2a(x_f - x_i)

i figured out the final velocity to be L_w/t + g*t/2

and the initial velocity is 0 because it is dropped but when i enter that the height is (L_w/t + g*t/2) / 2*g , i get an incorrect answer. then i thought of doing the sqrt(L_w/t + g*t/2) / 2*g and it was still wrong. can someone explain what i am doing wrong?

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# Flower Pot Falling Past a Window

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