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## Homework Statement

a rock is thrown nearly vertical upward from the edge of a tall building of height H. it just misses the edge of the building on the way down and strikes the ground T seconds after being thrown. given H, T

determine the initial velocity of the rock

the max height it reaches above its starting point

the time to reach its max height

## Homework Equations

v= v_0 + at

x = x_0 + v_0*t + 1/2*a*t^2

v^2 = v_0^2 + 2a(x - x_0)

## The Attempt at a Solution

x_0 = H

x = 0

v_0 = ?

v = ?

a = g

t = T

with these as inputs I don't see how I can manipulate algebra to get the things I want. this is a recurring theme with the rest of my homework it seems:

a flowerpot falls off a windowsill and falls past a window below. a person inside the building notices that it takes T seconds to go from the top to the bottom of the window. the window is h meters high. given h, T

determine how far above the window is the windowsill.

v= v_0 + at

x = x_0 + v_0*t + 1/2*a*t^2

v^2 = v_0^2 + 2a(x - x_0)

x_0 = 0

x = q + h (figuring out q is the goal)

v_0 = 0

v = v

a = g

t = T

one again i feel like when i mess with the algebra i end up going in circles where I can't get everything solved within means of the terms given... hurts my head. i think im doing something fundamentally wrong, let me know.