Projectile Motion: Solving for Velocity Components | Tower Launch

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Homework Help Overview

The discussion revolves around a projectile motion problem involving a projectile launched from a 100m tower, which falls 20m below the tower and travels 90m horizontally. The time of flight is given as 6 seconds, and participants are tasked with finding the x and y components of the velocity at impact.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using the equation Δx=Vi,x(t) to find the x component of the final velocity and question the correctness of their calculations. There is uncertainty regarding the y component of the initial velocity, particularly about the displacement used in calculations and the effect of gravity on the y component of velocity.

Discussion Status

Several participants have shared their calculated values for the x and y components of velocity, with some expressing uncertainty about their results. Questions about the relationship between vertical displacement and time of flight have been raised, indicating an ongoing exploration of the problem.

Contextual Notes

Participants are navigating through potential misunderstandings regarding the initial conditions and the effects of gravity on the projectile's motion. There is a mention of a visual representation that may influence the interpretation of the projectile's trajectory.

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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