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an oil rig floats on the ocean\'s surface, 1.500Km (about 5,000ft) above the sea

ID: 1517937 • Letter: A

Question

an oil rig floats on the ocean's surface, 1.500Km (about 5,000ft) above the seafloor. The oil reservoir is another 5.500 km (about 18,000 ft) beaneath the seafloor. 1. you are standing on the deck of the oil rig. you throw a rock up into the air so that it sails off the edge of the rig. the rock leaves your hand at about shoulder level, 2.0 m above the deck. the rock has an initial speed of 10.0m/s at an angle of 30.0 above the horizon. if you hear the rock hit the water 2.20 s later, how high is the deck above the ocean's surface?

Explanation / Answer

given

h = 2m

vo = 10 m/s

theta = 30 degrees

voy = 10*sin(30) = 5 m/s

t = 2.2 s

let H is the hight of deck above the surface of the water.


apply,

-(h + H) = voy*t - 0.5*g*t^2

-(2 + H) = 5*2.2 - 0.5*9.8*2.2^2

-(2 + H) = -12.72

2 + H = 12.72

H = 12.72 - 2

= 10.72 m