- #1
Serious Max
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Homework Statement
When you drop an object from a certain height, it takes time T to reach the ground with no air resistance. If you dropped it from three times that height, how long (in terms of T) would it take to reach the ground?
Homework Equations
##x=x_0+v_{0x}t+\frac{1}{2}a_x t^2##
The Attempt at a Solution
Did I solve it correctly?
##0=h+\frac{1}{2}(-g)T^2##
##h=\frac{1}{2}gT^2##
Now we take 3 times the height and substitute it:
##0=3\cdot\frac{1}{2}gT^2+\frac{1}{2}(-g)t^2##
##t^2=\dfrac{3}{2}gT^2\cdot \dfrac{2}{g}##
##t^2=3T^2##
##t=\sqrt{3T^2}##