The sword's maximum height above the ground rounded to the nearest tenth is 122.49m
In order to get the maximum height of the rope above the ground, we will use the formula for calculating the range;
[tex]R=u\sqrt{\frac{2H}{g} }[/tex]
Given the following parameters:
speed u = 5.0m/s
H is the maximum height
g is the acceleration due to gravity = 9.8m/s
R is the range = 15.0m
Substitute the given parameters into the formula to have:
[tex]15=5\sqrt{\frac{2H}{9.8} }\\\frac{15}{3}=\sqrt{0.2041H} \\5^2 = 0.2041H\\H = \frac{25}{0.2041}\\H= 122.48m[/tex]
Hence the sword's maximum height above the ground rounded to the nearest tenth is 122.49m
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