Altitude and pressure related rates problem

joey123

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Joined
Oct 23, 2005
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If the altitude of a space vehicle is increasing at the rate of .3 miles/sec at the instant when it is 2 miles above sea level, how fast is the pressure changing with time at this instant? By its graph, dp/dh at an altitude of 2 miles, is -2.
 
dh/dt=.3
dp/dh=-2
By the chain rule
dp/dt=(dp/dh)*(dh/dt) =
(-2)*(.3) =
-.6
 
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