Mathematics

The air pressure P on the front of a car traveling at speed v is given by P = é-pvz, where p
is the density of the air. lfp is measured in kg/m3 and v is in m/s, P is measured in N/mz, or
pascals.
(a) What is the pressure on the front of a car traveling at 6 m/s when air density is 1.4
kg/m3?
dP
(b) Find an equation for the rate 7 at which the pressure changes With respect to

time as the car’s speed changes.
dP
(c) Find the value of 7 for the car In Part (a) If it accelerates at the rate of 4.8 m/sz.

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