A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 1.8t²-3.5t and y = 3.5t2-t3/1.8. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t = 6.8 s. Answers: When t-6.8 s, V= a- 36.17 i 16.6 mm/s, ex- i -54.5 mm/s², ex-i -77.05

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x =
1.8t²-3.5t and y = 3.5t2 - ³/1.8. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors
make with the x-axis when t = 6.8 s.
Your answer is partially correct.
Answers: When t = 6.8 s,
v=
a =
36.17
i 16.6
mm/s,
mm/s², 0 i
-54.5
-77.05
Transcribed Image Text:A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 1.8t²-3.5t and y = 3.5t2 - ³/1.8. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t = 6.8 s. Your answer is partially correct. Answers: When t = 6.8 s, v= a = 36.17 i 16.6 mm/s, mm/s², 0 i -54.5 -77.05
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