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Fyei
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Homework Statement
A car has a variable veloctiy given as a funtion of distance s by 1 +2s. What its accleration when it has traveled 10m and how far has it traveled in 4s.
Homework Equations
[tex]a(s)=v\frac{dv}{ds}[/tex](i think?)
[tex]a=\frac{d^2s}{dt^2}[/tex]
The Attempt at a Solution
accleration at 10m
[tex]a(s)=v\frac{dv}{ds}=(2s+1)(2) = (4s+2)[/tex]
[tex] a(10) = 42ms^-2[/tex]
however i am unsure how to do the second part as velocity is already a function of distance, is it solved using the chain rule?
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