- #1
Mr Davis 97
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Homework Statement
At t = 0, an elevator departs from the ground with uniform speed. At time ##T_1## a child drops a marble through the floor.The marble falls with uniform acceleration g = 9.8 m/s^2, and hits the ground at time ##t = T_2##. Find the height of the elevator time ##T_1##.
Homework Equations
SUVAT Equations
The Attempt at a Solution
Using the equation ##h = v_e T_1## and ##0 = h + v_e T_2 - \frac{1}{2} g T_2^2##, I was able to find the height in terms of ##T_1## and ##T_2##: ##\displaystyle h = \frac{g T_2^2}{2(1 + \frac{T_2}{T_1})}##
However, this gives the height in terms of ##T_1## and ##T_2##, but I need it in terms of ##T_1##. How should I go about doing that?