🚀 go-pugleaf

Hi :

I'm a high school student I have a question about slope field this
question i'm copy from the book call " CALCULUS concepts and
applicantions"  paul a. foerster   1998 by key curriculum press.
page 331 #8.

A sky diver jumps from an airplane. During the free-fall stage, her
speed increases at the acceleration of gravity, about 32.16
(ft/sec)/sec. But wind resistance causes a force that reduces the
acceleration. The resistance force is proportional to the square of
the velocity. Assume that the comstant of proportionality is 0.0015,
so that:

dv/dt =32.16 - 0.0015 V^2

v is in feet per second and t is in seconds

1. what does the slope appear to be at the point (5, 120)? what does
it actually equal? Explain any discrepancy between your two answers?

For this one i substitute 120 to the equation but i got 10.56 for
slope. that is impossible??????? and rest of the question i have not
idea how to do, please help me out. thank you

2. The velocity approaches an asymptote. what does this terminal
velocity appear to equal? About how long does it take her to fall
until she is essentially at this velocity?

thank you

fanngmail@prodigy.net