Vector acceleration

  • Thread starter batballbat
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  • #1
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Main Question or Discussion Point

What is the equivalent vector of an acceleration a in terms of vector. Isnt it 1/2 at? In my book it is at
 

Answers and Replies

  • #2
993
13
If the poster can be more clear about what is his difficulty one can give some help.
 
  • #3
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there is an acceleration vector. What will be the velocity vector for that motion for time t?
 
  • #4
993
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Given a vector for acceleration at time t one can find the vector for the velocity at the same time t by integrating with respect to t the vector for acceleration.
 
  • #5
993
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e.g

if [itex]\underline{a}[/itex] = 4t[itex]\underline{i}[/itex] + t[itex]^{2}[/itex][itex]\underline{j}[/itex]

then [itex]\underline{v}[/itex] = 2t[itex]^{2}[/itex][itex]\underline{i}[/itex]+ [itex]\frac{t^{3}}{3}[/itex][itex]\underline{j}[/itex] + some constant vector.
 
  • #6
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suppose a force is acting on a point with acceleration a. What would be the velocity vector for the same effect?
 
  • #7
993
13
[itex]\underline{v}[/itex] = [itex]\int[/itex][itex]\underline{a}[/itex]dt

but [itex]\underline{F}[/itex] = m[itex]\underline{a}[/itex]

therefore

[itex]\underline{v}[/itex] = [itex]\int[/itex][itex]\frac{\underline{F}}{m}[/itex]dt
 

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