Battleship Shells A battleship simultaneously fires two shells toward two identi

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Battleship Shells

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.

Part A

What shape is the trajectory (graph of y vs. x) of the shells?

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Part B

For two shells fired at the same speed which statement about the horizontal distance traveled is correct?

For two shells fired at the same speed which statement about the horizontal distance traveled is correct?

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Now, consider for the remaining parts of the question below 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.

Part C

Which shell is fired at the larger angle?

Which shell is fired at the larger angle?

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Part D

Which shell is launched with a greater vertical velocity, vy ?

Which shell is launched with a greater vertical velocity, exttip{v_{mit y}}{v_y}?

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Part E

Which shell is launched with a greater horizontal velocity, vx ?

Which shell is launched with a greater horizontal velocity, exttip{v_{mit x}}{v_x}?

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Part F

Which shell reaches the greater maximum height?

Which shell reaches the greater maximum height?

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Part G

Which shell has the longest travel time (time elapsed between being fired and hitting the enemy ship)?

Which shell has the longest travel time (time elapsed between being fired and hitting the enemy ship)?

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Battleship Shells

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.

Part A

What shape is the trajectory (graph of y vs. x) of the shells?

What shape is the trajectory (graph of y vs. x) of the shells?

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Part B

For two shells fired at the same speed which statement about the horizontal distance traveled is correct?

For two shells fired at the same speed which statement about the horizontal distance traveled is correct?

straight line parabola hyperbola The shape cannot be determined.

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Now, consider for the remaining parts of the question below 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.

Part C

Which shell is fired at the larger angle?

Which shell is fired at the larger angle?

The shell fired at a larger angle with respect to the horizontal lands farther away. The shell fired at an angle closest to 45 degrees lands farther away. The shell fired at a smaller angle with respect to the horizontal lands farther away. The lighter shell lands farther away.

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Part D

Which shell is launched with a greater vertical velocity, vy ?

Which shell is launched with a greater vertical velocity, exttip{v_{mit y}}{v_y}?

A B Both shells are fired at the same angle.

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Part E

Which shell is launched with a greater horizontal velocity, vx ?

Which shell is launched with a greater horizontal velocity, exttip{v_{mit x}}{v_x}?

A B Both shells are launched with the same vertical velocity.

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Part F

Which shell reaches the greater maximum height?

Which shell reaches the greater maximum height?

A B Both shells are launched with the same horizontal velocity.

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Part G

Which shell has the longest travel time (time elapsed between being fired and hitting the enemy ship)?

Which shell has the longest travel time (time elapsed between being fired and hitting the enemy ship)?

A B Both shells reach the same maximum height.

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A B Both shells have the same travel time.

Explanation / Answer

part 1 )

parabola

part B )

The shell fired at an angle closest to 45 degrees lands farther away.

part C)

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