A student drops a stone from the edge of a sea cliff. The sound of the stone striking the ocean is heard 3.8s after the stone is released. The speed of sound in air is 340m/s. Find the height of the cliff. Ignore air resistance.

Answer 1

h = 1/2 g t^2 = 4.9 t^2

t + (h / 340) = 3.8 ... h = 340 (3.8 - t) = (340 * 3.8) - 340 t

substituting ... 4.9 t^2 + 340 t - 1292 = 0

solve for t , substitute back to find h