Posted by jahil on Sunday, November 21, 2010 at 6:50pm.
Water is discharged from a pipeline at a velocity v(in ft/sec) given by v=1240p^(1/2), where p is the pressure (in psi). I f the water pressure is changing at a rate of 0.406 psi/sec, find the acceleration(dv/dt) of the water when p=33.0 psi.
I know the answer is suppose to be 43.8ft/sec^2 but i have no clue how this is possible! Help!!!!!!

Calculus 1 Related Rates  Reiny, Sunday, November 21, 2010 at 6:58pm
You know that acceleration is the derivative of velocity.
v = 1240 p^(1/2)
dv/dt = 620 p^(1/2) dp/dt
= 620(33^(1/2))(.406
= 620/√33)(.406) = 43.82

Calculus 1 Related Rates  jahil, Sunday, November 21, 2010 at 7:06pm
Thank you so much Reiny you rock! I was putting that .406 in for V but i did have 620 with the 33.0^1/2. Thanks you Rock!!!!!
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