The displacement of a particle is given by s = 3t³ - 45t² +99t-65 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 12 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.7 sec, At t = 5.6 sec. At t = 8.8 sec, S= i -66.701 S= i -78.39 S= i -41.4 The velocity is zero when t = i ft, v = i -394.952 ft, v= i ft. v= i -122.76 10.8 sec and when t = i ft/sec, a = ft/sec, a = ft/sec, a = 8.742 i i -634.184 3.96 i 68.4 sec ft/sec² ft/sec² ft/sec²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The displacement of a particle is given by s = 3t^3 -45t^2 + 99t - 65 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 12 seconds of motion. After you have made the plots, answer the questions. The velocity is zero when t= ? sec and when t= ? sec
The displacement of a particle is given by s = 3t³ - 45t² +99t-65 where s is in feet and t is in seconds. Plot the displacement, velocity,
and acceleration as functions of time for the first 12 seconds of motion. After you have made the plots, answer the questions.
Questions:
Att = 2.7
sec,
At t = 5.6
sec.
At t = 8.8
sec,
S= i -66.701
S= i
-78.39
S= i -41.4
The velocity is zero when t = i
ft, v =
i -394.952
ft, v= i
ft. v= i
-122.76
10.8
sec and when t =
i
ft/sec, a =
ft/sec, a =
ft/sec, a =
8.742
i
i
-634.184
3.96
i 68.4
sec
ft/sec²
ft/sec²
ft/sec²
Transcribed Image Text:The displacement of a particle is given by s = 3t³ - 45t² +99t-65 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 12 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.7 sec, At t = 5.6 sec. At t = 8.8 sec, S= i -66.701 S= i -78.39 S= i -41.4 The velocity is zero when t = i ft, v = i -394.952 ft, v= i ft. v= i -122.76 10.8 sec and when t = i ft/sec, a = ft/sec, a = ft/sec, a = 8.742 i i -634.184 3.96 i 68.4 sec ft/sec² ft/sec² ft/sec²
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