What is the final velocity of an apple if it falls from a 100m tree

To calculate the final velocity of the apple when it falls from a 100-meter tree, we can use the following kinematic equation from physics:

\[
v_f^2 = v_i^2 + 2 g h
\]

Where:
- \( v_f \) is the final velocity (what we're solving for),
- \( v_i \) is the initial velocity (since the apple starts from rest, \( v_i = 0 \)),
- \( g \) is the acceleration due to gravity (\( g = 9.81 \, \text{m/s}^2 \)),
- \( h \) is the height (in this case, \( h = 100 \, \text{m} \)).

Substituting the known values:

\[
v_f^2 = 0 + 2 \times 9.81 \, \text{m/s}^2 \times 100 \, \text{m}
\]

\[
v_f^2 = 1962 \, \text{m}^2/\text{s}^2
\]

Now, take the square

What is the final velocity of an apple if it falls from a 100m tree?

Learn how to calculate the final velocity of an apple falling from a 100-meter tree using kinematic equations. This problem involves free fall, the acceleration due to gravity (9.81 m/s²), and step-by-step calculations. Suitable for students in Grades 9-12.

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