Which Ship Gets Hit First by the Destroyer's Shells?

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Homework Help Overview

The problem involves a destroyer firing two shells at different enemy ships, with the shells following parabolic trajectories. The question is which ship gets hit first, considering the shells have different initial speeds.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Some participants express uncertainty about how to determine which shell hits first due to differing initial speeds. Others suggest that both shells may take the same time to reach their targets since they achieve the same maximum height.

Discussion Status

The discussion includes attempts to clarify the problem and explore the implications of the shells' trajectories. Some participants have offered guidance on equating the heights and velocities of the projectiles, while others are still questioning the initial setup and assumptions.

Contextual Notes

Participants are navigating the complexities of projectile motion and the implications of different initial speeds, with some expressing confusion about the relationship between maximum height and time of flight.

maiad
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Homework Statement



A destroyer simultaneously fires two shells with different initial speeds at two different enemy ships. The shells follow the parabolic trajectories shown.
http://smartphysics.com/Content/Media/Images/Mechanics/02/Destroyer2.gif

Which ship gets hit first?

Homework Equations


The Attempt at a Solution


I'm not sure how to figure this one out since they both have different initial speeds. But my guess would be the same time since they both have the same maxium height and therefore same "hang time"
 
Last edited by a moderator:
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What is asked??
 
i edited the question in
 
Write the formula for the height of the projectile. Equate them for the two shells.
Write down the final vertical component of the velocity of the projection. Since it is zero for both the shells, equate them.
Now proceed.
 
maiad said:

Homework Statement



A destroyer simultaneously fires two shells with different initial speeds at two different enemy ships. The shells follow the parabolic trajectories shown.
http://smartphysics.com/Content/Media/Images/Mechanics/02/Destroyer2.gif

Which ship gets hit first?

Homework Equations





The Attempt at a Solution


I'm not sure how to figure this one out since they both have different initial speeds. But my guess would be the same time since they both have the same maximum height and therefore same "hang time"

I like the way you are thinking!
 
Last edited by a moderator:

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