Question

The cannon on a battleship can fire a shell a maximum distance

of 20.0 km.

(a) Calculate the initial velocity of the shell.

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(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 20.0 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 could be significant compared to the size of a target.
• The error is insignificant compared to the size of a target.
• The error is significant compared to the distance of travel.

In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines:

2.5 km 45° north of west; then 

4.70 km 60° south of east; then 

5.1 km straight east; then 

7.2 km 55° south of west; and finally 

2.8 km 5° north of east.

What is his final position relative to the island?

 km 

 ° south of east