Resultant vector given initial velocity and acceleration

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Homework Help Overview

The discussion revolves around understanding the resultant vector given an initial velocity and an upward acceleration vector. The subject area includes vector addition and kinematics.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the difficulty of adding vectors with different units and question how to combine an acceleration vector with a velocity vector. They explore the implications of the upward acceleration on the resultant vector and eliminate options based on reasoning about the initial velocity.

Discussion Status

Some participants have provided guidance on focusing on qualitative rather than quantitative answers. There is ongoing exploration of potential answers, with participants considering which vectors align with the upward acceleration while still pointing in the positive X-direction.

Contextual Notes

Participants note the lack of specific magnitudes and the need for a qualitative understanding of the vector relationships. There is an acknowledgment of homework constraints regarding the nature of the problem.

idllotsaroms
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Homework Statement



http://postimage.org/image/466vu4yvp/
http://postimage.org/image/opdrmlv5n/

There can be more than one right answer

Homework Equations



α=Δv/ΔX
v = v0 + αt

The Attempt at a Solution



Im having difficulty understanding the upward acceleration vector. Because I set the +y direction as positive (up) and the +x-direction as positive (right). So I thought that if acceleration is up, it means that acceleration is positive so the velocity is increasing (just a vector that is the exact same as the Vo vector).
I attempted to add the two vectors together (hypotenuse) and say that was the answer, but it was incorrect (45° angle vector).
 
Last edited:
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You can't add an acceleration vector to a velocity vector; they have different units. And since you don't have any magnitudes and don't know how long the force acted, you are looking for a qualitative answer, not a quantitative one (that is, you couldn't have gotten a 45 degree angle). You are on the right track, though. Look at the possible answers and see if you can eliminate any of them.
 
thanks for the reply tms,
I guess my question then is, how am I supposed to add two unlike vectors?
So far, I eliminated A because I believe it doesn't make sense for there not to be a velocity vector.
C seems unlikely because of the initial velocity
E seems unlikely because that straight vector pointed right doesn't have the acceleration acting on it.
Would the answer be B and D, because they are the only resulting vectors that have the depicted upward acceleration acting on them with still pointing to the positive X-direction?
 
idllotsaroms said:
thanks for the reply tms,
I guess my question then is, how am I supposed to add two unlike vectors?
You don't need exact results, just a general idea of what the effects of the force would be.
So far, I eliminated A because I believe it doesn't make sense for there not to be a velocity vector.
Right.
C seems unlikely because of the initial velocity
Right.
E seems unlikely because that straight vector pointed right doesn't have the acceleration acting on it.
Right.
Would the answer be B and D, because they are the only resulting vectors that have the depicted upward acceleration acting on them with still pointing to the positive X-direction?
Right.
 
... I swear I attempted that solution D:, but I tried it again and it worked! I think I accidentally submitted my response incorrectly!

Thank you tms for your help! (I was on my last attempt)
 

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