Projectile Motion: Solving for Velocity Components | Tower Launch

AI Thread Summary
A projectile is launched from a 100m tower, falling 20m below the tower and landing 90m away horizontally in 6 seconds. The x-component of the final velocity was calculated to be 15m/s, while the initial y-component of velocity was initially estimated at 20m/s. However, the y-component was later corrected to approximately 9.43m/s, accounting for the effects of gravity. The discussion emphasizes the importance of correctly interpreting vertical displacement and time of flight in projectile motion problems. Overall, the calculations highlight the need for careful consideration of both velocity components in solving projectile motion scenarios.
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?
 
Toranc3 said:
Yo i got this problem too. Is vy 9.43m/s?

Excellent!

ehild
 
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!
 
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