Tall pacific coast redwood trees can reach heights of about 100 m. If air drag is negligibly small, how fast is a sequoia come moving when it reaches the ground if it dropped from the top of a 100 m tree?

Respuesta :

Given data:

Height of the tree;

[tex]h=100\text{ m}[/tex]

Initial velocity;

[tex]u=0\text{ m/s}[/tex]

The velocity of sequoia when it reaches the ground is given as,

[tex]v=\sqrt[]{u^2+2gh}[/tex]

Here, g is the acceleration due to gravity.

Substituting all known values,

[tex]\begin{gathered} v=\sqrt[]{(0\text{ m/s})^2+2\times(9.8\text{ m/s}^2)\times(100\text{ m})} \\ \approx44.27\text{ m/s} \end{gathered}[/tex]

Therefore, sequoia will reach the ground with a velocity of 44.27 m/s.