# The cannon on a battleship can fire a shell a maximum distance of 36.0 km. (a) Calculate the initial velocity of the shell.(b) What maximum height 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.)(c) The ocean is not flat since the earth is curved. How many meters lower will its surface be 36.0 km from the ship along a horizontal line parallel to the surface at the ship?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 distance of travel.The error is significant compared to the distance of travel.The error could be significant compared to the size of a target.The error is insignificant compared to the size of a target.

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The cannon on a battleship can fire a shell a maximum distance of 36.0 km.

(a) Calculate the initial velocity of the shell.

(b) What maximum height 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.)

(c) The ocean is not flat since the earth is curved. How many meters lower will its surface be 36.0 km from the ship along a horizontal line parallel to the surface at the ship?

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 distance of travel.
The error is significant compared to the distance of travel.
The error could be significant compared to the size of a target.
The error is insignificant compared to the size of a target.
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Step 1

Given:

The maximum distance upto which the shell can be fired from the canon aboard a battleship is, R = 36.0 km

Part a

We need to find the initial velocity of the shell.

Step 2

A projectile has the maximum distance at an projectile angle of 45o.

Using the formula for projectile motion, the maximum distance is related to the initial velocity of the projectile by:

Step 3

Part b

The maximum height of the ...

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