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16. (a)
190 ft/sec
(b)
2 seconds
(c)
After 8 seconds, and its velocity was 0 ft/sec then
(d)
After about 11 seconds, and it was falling 90 ft/sec then
(e)
About 3 seconds (from the rocket’s highest point)
(f)
The acceleration was greatest just before the engine
stopped. The acceleration was constant from
t
5
2 to
t
5
11, while the rocket was in free fall.
17.
Note that “downward velocity” is positive when McCarthy
is falling downward. His downward velocity increases
steadily until the parachute opens, and then decreases to a
constant downward velocity. One possible sketch:
18. (a)
We estimate the slopes at several points as follows,
then connect the points to create a smooth curve.
Horizontal axis: Days
Vertical axis: Flies per day
(b)
Fastest: Around the 25th day
Slowest: Day 50 or day 0
19.
The particle is at (5, 2) when 4
t
3
2
16
t
2
1
15
t
5
5, which
occurs at
t
<
2.83.
20.
The motion can be simulated in parametric mode using
x
1
(
t
)
5
2
t
3
2
13
t
2
1
22
t
2
5 and
y
1
(
t
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 Fall '08
 GERMAN

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