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 2 years ago
A body moves along a horizontal line according to s=f(t)=t^39t^2+24t
a) when is s increasing and when it is decreasing?
b) when v is increasing and when it is decreasing?
 2 years ago
A body moves along a horizontal line according to s=f(t)=t^39t^2+24t a) when is s increasing and when it is decreasing? b) when v is increasing and when it is decreasing?

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richyw
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{ds}{dt} = 3t^218t+24\]\[\frac{d^2s}{dt^2} = 6t18\] a) when \(\frac{ds}{dt}>0\), s is increasing, when \(\frac{ds}{dt}<0\), s is decreasing b) when \(\frac{d^2s}{dt^2}>0\), v is increasing, when \(\frac{d^2s}{dt^2}>0\), v is decreasing

richyw
 2 years ago
Best ResponseYou've already chosen the best response.1oops the last statement in b should have a < sign (just like in a)
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