The cannon on a battleship can fire a shell a maximum distance of 21.6 km.   (a) Calculate the initial velocity of the shell in meters per second. (Enter the magnitude.) _____ m/s

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6) The cannon on a battleship can fire a shell a maximum distance of 21.6 km.
 
(a) Calculate the initial velocity of the shell in meters per second. (Enter the magnitude.)
_____ m/s
 
(b) What maximum height in meters does it reach? (At its highest, the shell is above a substantial part of the atmosphere—but air resistance is not really negligible as assumed to make this problem easier. Assume the shell has been fired so as to maximize horizontal distance.)
 _____m
 
(c) The ocean is not flat, because the earth is curved. Assume that the radius of the Earth is 6.37 ✕ 103 km. How many meters lower will its surface be 21.6 km from the ship along a horizontal line parallel to the surface at the ship?
_____ m
 
Does your answer imply that error introduced by the assumption of a flat Earth in projectile motion is significant here? (Select all that apply.)
_The error is insignificant compared to the size of a target.
_The error could be significant compared to the size of a target.
_The error could be significant compared to the distance of travel.
_The error is insignificant compared to the distance of travel.
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