A. Position vector of the ant at t=1.0 s B. Total distance traveled by the ant between t=0.0 s to t=7.0 s C. Displacement vector of the ant between t = 0.0 s and t 7.0 s D. Position vector of the ant att= 6.5 s. E. Magnitude of the displacement vector of the ant between t= 0.0 s and t= 7.0 s

Physics for Scientists and Engineers
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Chapter3: Vectors
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Problem 30P: In an assembly operation illustrated in Figure P3.30. a robot moves an object first straight upward...
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5. An ant is on top of a flat table. Let the surface of the table be the x-y plane. Att =
0.0 s, the coordinates of the ant are (1.0, 2.0) cm. The ant then moves in the +x-
direction at a constant speed of 2.0 cm/s for 3.0 s, moves in the +y direction at a
constant speed of 3.0 cm/s for 1.0 s, rests momentarily for 2.0 s, moves in the –x
direction at a constant speed of 1.0 cm/s for 1.5 s, and then moves in the –y direction
at a constant speed of 4.0 cm/s for 0.5 s. Determine the following:
A. Position vector of the ant at t=1.0 s
B. Total distance traveled by the ant between t=0.0 s to t=7.0 s
C. Displacement vector of the ant between t = 0.0 s and t=7.0 s
D. Position vector of the ant at t = 6.5 s.
E. Magnitude of the displacement vector of the ant between t = 0.0 s and t =
7.0 s
F. Instantaneous velocity of the ant at t = 5.5 s.
G. Average speed of the ant from t = 0.0 s to 7.0 s.
H. Average velocity of the ant from t = 0.0 s to 7.0 s
Transcribed Image Text:5. An ant is on top of a flat table. Let the surface of the table be the x-y plane. Att = 0.0 s, the coordinates of the ant are (1.0, 2.0) cm. The ant then moves in the +x- direction at a constant speed of 2.0 cm/s for 3.0 s, moves in the +y direction at a constant speed of 3.0 cm/s for 1.0 s, rests momentarily for 2.0 s, moves in the –x direction at a constant speed of 1.0 cm/s for 1.5 s, and then moves in the –y direction at a constant speed of 4.0 cm/s for 0.5 s. Determine the following: A. Position vector of the ant at t=1.0 s B. Total distance traveled by the ant between t=0.0 s to t=7.0 s C. Displacement vector of the ant between t = 0.0 s and t=7.0 s D. Position vector of the ant at t = 6.5 s. E. Magnitude of the displacement vector of the ant between t = 0.0 s and t = 7.0 s F. Instantaneous velocity of the ant at t = 5.5 s. G. Average speed of the ant from t = 0.0 s to 7.0 s. H. Average velocity of the ant from t = 0.0 s to 7.0 s
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