A stone is released from the top of a tower of height 19.6 m. Calculate its final velocity just before touching the ground.
Question
A stone is released from the top of a tower of height 19.6 m. Calculate its final velocity just before touching the ground.
Solution
Sure, we can solve this problem using the physics equation for motion:
v² = u² + 2gs
where: v is the final velocity, u is the initial velocity, g is the acceleration due to gravity, and s is the distance.
Given: u = 0 (since the stone is released from rest), g = 9.8 m/s² (approximate value of gravity on Earth), and s = 19.6 m (height of the tower).
Substituting these values into the equation, we get:
v² = 0 + 29.819.6 v² = 384.16
Taking the square root of both sides to solve for v, we get:
v = sqrt(384.16) v = 19.6 m/s
So, the final velocity of the stone just before touching the ground is 19.6 m/s.
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