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). part a. from what height h above the bottom of your window was the flower pot dropped? part b. if the bottom of your window is a height h_b above the ground, what is the velocity v_{ground} of the pot as it hits the ground? you may introduce the new variable v_b, the speed at the bottom of the window, defined by