A battleship simultaneously fires two shells toward two identical enemy ships. One shell hits ship A, which is close by, and the other hits ship B, which is farther away. The two shells are fired at the same speed. Assume that air resistance is negligible and that the magnitude of the acceleration due to gravity is g. Note that after Part B the question setup changes slightly.

Principles of Physics: A Calculus-Based Text
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  • What shape is the trajectory (graph of y vs. x) of the shells?
  • For two shells fired at the same speed which statement about the horizontal distance traveled is correct?
 
Now, consider that both shells are fired at an angle greater than 45 degrees with respect to the horizontal. Remember that enemy ship A is closer than enemy ship B.
 
  • Which shell is fired at the larger angle, and which shell is launched with a greater vertical velocity, vy??
  • Which shell is fired at the larger angle, and which shell is launched with a greater vertical velocity, vx??
  • Which shell reaches the greater maximum height?
  • Which shell has the longest travel time (time elapsed between being fired and hitting the enemy ship)?

 

A battleship simultaneously fires two shells toward two identical enemy
ships. One shell hits ship A, which is close by, and the other hits ship B,
which is farther away. The two shells are fired at the same speed. Assume
that air resistance is negligible and that the magnitude of the acceleration
due to gravity is g.
Note that after Part B the question setup changes slightly.
Transcribed Image Text:A battleship simultaneously fires two shells toward two identical enemy ships. One shell hits ship A, which is close by, and the other hits ship B, which is farther away. The two shells are fired at the same speed. Assume that air resistance is negligible and that the magnitude of the acceleration due to gravity is g. Note that after Part B the question setup changes slightly.
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