- #1
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Homework Statement
The Pitt Fall is thrill ride at Kennywood that lifts passengers to a certain height, pauses for a few moments, and then drops the riders, causing them to free fall towards the ground before gradually applying breaks 79 ft above the ground. Assume there is a drag force, F=-bv, and the terminal velocity reached is 65 mph (29.1m/s). There are 16 passengers, each weighing 178 lbs, and the ride weighs 10,000 lbs. Determine the value of b. Derive the velocity equation as a function of time.
Homework Equations
I understand that you must use calculus, but I do not know how to derive the equation.
The Attempt at a Solution
I found that b=1962.6, and I started to derive the equation, but I am not certain where to go from here:
F=-bv
ma=-bv
m(dv/dt)=-bv
dv/v=-b(dt)/m
[tex]\int dv/v[/tex]=-b/m[tex]\int dt[/tex]