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

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SUMMARY

The discussion centers on determining which of two enemy ships is hit first by shells fired from a destroyer, despite the shells having different initial speeds. Participants agree that both shells reach the same maximum height, suggesting they have the same "hang time." The key to solving the problem lies in equating the height formulas for the two projectiles and analyzing their vertical velocity components. This approach leads to a definitive conclusion about the timing of the hits.

PREREQUISITES
  • Understanding of projectile motion and parabolic trajectories
  • Familiarity with kinematic equations for vertical motion
  • Knowledge of initial velocity and its impact on projectile height
  • Ability to equate mathematical expressions for problem-solving
NEXT STEPS
  • Study the kinematic equations for projectile motion in detail
  • Learn how to derive and manipulate height equations for projectiles
  • Explore the concept of maximum height in projectile motion
  • Practice solving similar problems involving multiple projectiles
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Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators looking for examples of problem-solving techniques in kinematics.

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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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