Question

a coconut falls from the top of a tree and takes 3.5 seconds to reach the ground. How tall is the tree?

Answer 1

Hello!

To solve, we can begin by using the kinematic equation:

$d = v_it + \frac{1}{2}at^2$

Where:

vi = initial velocity (m/s)

t = time (s)

a = acceleration (in this case, due to gravity. g = 9.8 m/s²)

Since the object falls from rest, the initial velocity is 0 m/s.

$d = \frac{1}{2}at^2$

Plug in the given values:

$d = \frac{1}{2}(9.8)(3.5^2) = \boxed{60.025 m}$