Bit of help with this one if poss..
A vehicle has acceleration
f(t) = a/(1+t)^n
where a > 0, n>1(n not equal 2) are const.
Find x dot of (t) and x(t)
x(0)=x dot x(0)=0
what is the max speed poss??
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so we have ...
This is a seperable ODE
Using the intial condition v(0)=0
so solving for C we get
so now we get
This is also a seperable ODE. So just repeate the process from above.
You should be able to finish from here
I don't understand how you know you get on the top when you're solving for C... in fact, so the power of the (1+0) is bound to be positive surely? Surely it should just be ?
Also, I don't get where has come from either
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