Projectile Motion: Solving for Velocity Components | Tower Launch

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jklops686
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Homework Statement


A Projectile is launched from the top of a 100m tower and falls 20m below the bottom of the tower and 90m away in the x direction. Time of flight is 6 seconds.

1. Find the x component of the velocity of the object when it strikes the ground.


2. Find the y-component of the inital velocity of the object.

Homework Equations


I tried using Δx=Vi,x(t) to solve for the x component of Vf (since the inital should be the same as the final). Then I did the same thing for the y component of Vi.

The Attempt at a Solution


I got 15m/s for the x component of Vf and I'm not sure if this is correct. For the y component of Vi I solved and got 20m/s. I used -120m for Δy and I'm not sure if this is right because in the picture it shows the projectile going up a little before it begins to go down 120m.

Any input would be greatly appreciated :smile:
 
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Yo I got 15m/s for x. My y was wrong sorry.
 
Don't forget that the y component of velocity is affected by gravity.
 
jklops686 said:

Homework Statement


A Projectile is launched from the top of a 100m tower and falls 20m below the bottom of the tower and 90m away in the x direction. Time of flight is 6 seconds.

1. Find the x component of the velocity of the object when it strikes the ground.


2. Find the y-component of the inital velocity of the object.


Homework Equations


I tried using Δx=Vi,x(t) to solve for the x component of Vf (since the inital should be the same as the final). Then I did the same thing for the y component of Vi.


The Attempt at a Solution


I got 15m/s for the x component of Vf and I'm not sure if this is correct. For the y component of Vi I solved and got 20m/s. I used -120m for Δy and I'm not sure if this is right because in the picture it shows the projectile going up a little before it begins to go down 120m.

Any input would be greatly appreciated :smile:

What did you end up getting for the y?
 
jklops686 said:

Homework Statement


A Projectile is launched from the top of a 100m tower and falls 20m below the bottom of the tower and 90m away in the x direction. Time of flight is 6 seconds.

1. Find the x component of the velocity of the object when it strikes the ground.


2. Find the y-component of the inital velocity of the object.


Homework Equations


I tried using Δx=Vi,x(t) to solve for the x component of Vf (since the inital should be the same as the final). Then I did the same thing for the y component of Vi.


The Attempt at a Solution


I got 15m/s for the x component of Vf and I'm not sure if this is correct. For the y component of Vi I solved and got 20m/s. I used -120m for Δy and I'm not sure if this is right because in the picture it shows the projectile going up a little before it begins to go down 120m.

Any input would be greatly appreciated :smile:

How is the displacement along y related to the time of flight?

ehild
 
Yo i got this problem too. Is vy 9.43m/s?
 
ehild said:
Excellent!

ehild

Awesome thanks!
 
I got it. Wow, I don't know how I missed that. Maybe my brain was overloaded from studying all day and just farted. Thanks, though!