Vector acceleration

  • Thread starter batballbat
  • Start date
  • #1
batballbat
127
0
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
grzz
998
15
If the poster can be more clear about what is his difficulty one can give some help.
 
  • #3
batballbat
127
0
there is an acceleration vector. What will be the velocity vector for that motion for time t?
 
  • #4
grzz
998
15
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
grzz
998
15
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
batballbat
127
0
suppose a force is acting on a point with acceleration a. What would be the velocity vector for the same effect?
 
  • #7
grzz
998
15
[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
 

Suggested for: Vector acceleration

  • Last Post
Replies
7
Views
444
Replies
2
Views
255
Replies
6
Views
797
Replies
4
Views
234
Replies
1
Views
307
  • Last Post
Replies
8
Views
775
  • Last Post
Replies
2
Views
349
  • Last Post
Replies
2
Views
286
Replies
1
Views
330
Replies
6
Views
271
Top