Answer:
55.4265 m/s
513.71 ft
Explanation:
t = Time taken to hit the ground = 5.65 seconds
a = Acceleration due to gravity = 9.81 m/s²
u = Initial velocity = 0 m/s
v = Final velocity
From equation of motion
[tex]v=u+at\\\Rightarrow v=0+9.81\times 5.65\\\Rightarrow v=55.4265\ m/s[/tex]
∴ Velocity of the log at impact is 55.4265 m/s
Distance
[tex]s=ut+\frac{1}{2}at^2\\\Rightarrow s=0\times 5.65+\frac{1}{2}\times 9.81\times 5.65^2\\\Rightarrow s=156.5798625\ m[/tex]
Converting to feet
1 m = 3.28084 ft
156.5798625 m = 156.5798625×3.28084 ft
= 513.71 ft
∴ The distance the log fell is 513.71 ft