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

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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"
 
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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!
 
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