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0mega
 3 years ago
a(t) = A + Bt
x(0) =xi
v(0) = vi
derive the position as a function of time equation
0mega
 3 years ago
a(t) = A + Bt x(0) =xi v(0) = vi derive the position as a function of time equation

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zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.1take the first integral v(t) = At+(1/2)Bt^2 + C then plug in v(0) to solve for C

3psilon
 3 years ago
Best ResponseYou've already chosen the best response.1Then take the next integral and plug X(0)

0mega
 3 years ago
Best ResponseYou've already chosen the best response.0i take the integral of the first integral? and then plug in x(0)?

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.1note you need to solve for c first

0mega
 3 years ago
Best ResponseYou've already chosen the best response.0how did you get (1/2)bt^2 ?

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.1A*0+(1/2)B*0^2 + C = vo c = v0

0mega
 3 years ago
Best ResponseYou've already chosen the best response.0ohhhhhh. okay okay. i get it now @zzr0ck3r

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.1great... note: Newton was a p i m p

3psilon
 3 years ago
Best ResponseYou've already chosen the best response.1\[V(0) = V_{i} \] according to the boundary condition So \[V(0) =\frac{ B0^{2} }{ 2 } + a(0) + C\] \[ V(0) = C\] \[ V(0) = vi\] So \[ Vi = C\] Plug \[ V(i)\] into the orginal \[V(t)\] function as C
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