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Dynamics Challenge #1 — Kinematics

Free fall
from a cliff.

Dynamics Easy

Problem

A ball is released from rest at the edge of a cliff and falls freely through a height of \( h = 20\ \mathrm{m} \). Determine the time it takes to reach the ground below.

  • Initial velocity\( v_0 = 0 \)
  • Height\( h = 20\ \mathrm{m} \)
  • Gravity\( g = 9.8\ \mathrm{m/s^2} \)
  • Answer inseconds
Ignore air resistance.
Hint: the ball starts from rest, so \( v_0 = 0 \). Which kinematic equation links the distance fallen, the acceleration and the time when the initial velocity is zero?
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