Given data:
* The height of the Eiffel tower is 320 m.
* The acceleration due to gravity is,
[tex]g=9.8ms^{-2}[/tex]* The initial velocity of the egg in the vertical direction is 0 m/s.
Solution:
By the kinematics equation, the vertical motion of the egg is,
[tex]H=ut+\frac{1}{2}gt^2[/tex]where u is the initial velocity, t is the time taken, and H is the height of the egg,
Substituting the known values
[tex]\begin{gathered} 320=0+\frac{1}{2}\times9.8\times t^2 \\ 320=4.9\times t^2 \\ t^2=\frac{320}{4.9} \\ t^2=65.306 \\ t=8.08\text{ s} \end{gathered}[/tex]Thus, the time