Resultant vector given initial velocity and acceleration

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The discussion revolves around understanding how to determine the resultant vector given an initial velocity and an upward acceleration. The participant initially struggles with the concept of adding vectors of different types, realizing that acceleration cannot be directly added to velocity due to differing units. They eliminate options A, C, and E based on logical reasoning about the vectors involved. Ultimately, they conclude that options B and D are valid because they incorporate the upward acceleration while maintaining a positive X-direction. The participant successfully revisits their solution, confirming that option D is correct after a previous submission error.
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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