The rock will take 3.61 seconds to hit the surface of the water.
The equations of motion can be described as the equation that described the relationship between the velocity (v & u), acceleration, time, and displacement (S) of a moving body.
The mathematical expression of the equations of motion:
[tex]v = u +at\\S = ut +(1/2)at^2\\v^2-u^2 = 2aS[/tex]
Given, the height of the bridge from the ground, h = 64.0 m
The gravitational acceleration on the rock, g = 9.8 m/s²
The initial speed of the rock, u = 0
From the 2nd equation of motion, calculate the time rock takes to hit the surface of the water:
h = ut + (1/2)gt²
64.0 = 0×t + (1/2)× 9.8×t²
t² = 64 ×2/9.8
t = 3.61 s
Learn more about the equation of motion, here:
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