Falling in a Fluid
Velocity & Acceleration
Question 1
a. Starting with eqn. (
3.4), determine the velocity of a skydiver
(in m/s and mi/hr) falling in air 10 seconds after the fall is
initiated.
Assume that
k = 0.2 Ns
2/m
2 and that
m = 80 kg.
b. Compare this result with that of a skydiver
falling in a vacuum, (Falling in a Vacuum,
question 2) and explain the difference.
Question 2
What is the velocity of a skydiver after he
or she has fallen 3000m? Assume k = 0.2
Ns2/m2 and m = 80
kg.
Question 3
a. What is the
acceleration of the skydiver after he or she has fallen 3000
m?
b. In
A Common Skydive, the
skydiver free falls 7000 ft. (2134 m). What is the skydiver's
acceleration when the ripcord is pulled?
Question 4
Replace
vf in eqn (
3.2) using eqn (
4.1) and obtain the equation for how
af varies with
y.
Question 5
The functions in eqns (4.1) and Question 4, part a, show how the
velocity and acceleration of an object falling in a fluid depends upon
y, the distance fallen. Plot vf and
af vs. y for 0 ≤ y ≤ 3000 m.
Now proceed to discover.
Copyright
1998-1999
Rensselaer Polytechnic Institute. All Rights Reserved.