Problem
Set 3: Problem 3.
Problem:
A rocket of weight
W
launches vertically from rest at time
t
=0
. Its motor provides constant
thrust force,
T
,fo
r
0
≤
t
≤
t
m
.A
f
t
e
r
t
=
t
m
, the rocket motor shuts off. You can neglect the friction
force from the air and you can treat the rocket’s mass as being constant.
(a) At what time,
t
f
, does the rocket reach its maximum height? Express your answer as a function
of
T
,
W
and
t
m
.
(b) What is the maximum height,
h
, reached by the rocket? Express your answer as a function of
T
,
W
,
t
m
and gravitational acceleration,
g
.
(c) Compute
t
f
and
h
for
W
=0
.
25
lb,
T
=2
.
5
lb and
t
m
=2
sec.
Solution:
The solution strategy is to balance forces in Part (a), noting that the acceleration assumes different
values before and after time
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 '06
 Shiflett
 Force, Thrust, 2 sec, 1 W, 1 g, 1.10 mi

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