i need the answer of this Qs plz A straight steel pipe (epsilon = 0.045mm) slope

Question

i need the answer of this Qs plz

A straight steel pipe (epsilon = 0.045mm) slopes downward at small angle theta where sin theta = theta = 0.01523 for gravity flow of oil (0.0000557 m2/sec) at 0.283m3/sec, what is the pipe diameter needed? A high-speed car with mass of 2000Kg, CD=0.3 and A=1m2 deploys a 2m parachute to slow down from an initial velocity of 100 m/sec. Assuming constant CD, brakes free and no rolling resistance calculate the distance and velocity of the car after 1,10,100 and 1000 sec. For air assume rho = 1.2kg/m3.

Explanation / Answer

drag here = 0.5*v2*a*cd = 0.5*1.2*.3*v2= m dv/dt

integrating this we get this

m dv/ v2 = dt 0.18

-1/v]v1 to v2 = t0.18/2000

v1=100

1/v1 - 1/v2 = t0.18/2000

for t=1

v2 =99.1m/s

for t = 10

v2 = 91.74m/s

for t = 100

v2 = 52.63m/s

for t= 1000

v2 = 10m/s

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