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E. 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 Pociti

E. 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 Pociti

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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What are the solutions in no. 5 and 7?

5. An ant is on top of a flat table. Let the surface of the table be the x-y plane. At t = 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 6. A dog running in an open field is at location (1.0 m, 2.0 m) at time 0.0 s. It moves 1.0m with a constant velocity of v, 2.0m î in the time interval t = 0.0 s to t = 1.0 s. It moves with a constant velocity of , = 2.0m, 1.0m î+ o"j in the time interval t = 1.0 s to t = 2.0 s. Determine the following: A. Position vector of the dog at t 0.5 s, 1.0s, 1.5 s, and 2.0 s. B. Total distance traveled by the dog between t= 0.0 s and t=2.0 s. C. Average speed of the dog between t= 0.0 s and t= 2.0 s. D. Average velocity of the dog between t = 0.0 s and t = 2.0 s. 7. The position coordinates of a particle are given by x = In(1 + 2t), y = 2 cos(nt), and z = tsin(nt/2) where x, y,and z are in meters while t is in seconds. Determine the following quantities: A. Position vector at t=0,0 s and t 1.0 s B. Distance of the particle from the origin at t=0.0 s and t= 1.0 s C. Average velocity in the time interval t=0,0 s to t=1.0 s D. Instantaneous velocity at time t=0.0 s, and at time t-1.0 s E. Average acceleration in the time interval t=0.0 s to t=1.0 s F. Instantaneous acceleration at time t= 0,0 s, t=0,5 s, and t = 1.0 s 8. The position coordinates of a particle are given by x = R cos(2nt/T), y = Rsin(2nt/T), and z = 0 where R and T are constants with units, respectively, of length and time. Determine the following quantities:
Transcribed Image Text:5. An ant is on top of a flat table. Let the surface of the table be the x-y plane. At t = 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 6. A dog running in an open field is at location (1.0 m, 2.0 m) at time 0.0 s. It moves 1.0m with a constant velocity of v, 2.0m î in the time interval t = 0.0 s to t = 1.0 s. It moves with a constant velocity of , = 2.0m, 1.0m î+ o"j in the time interval t = 1.0 s to t = 2.0 s. Determine the following: A. Position vector of the dog at t 0.5 s, 1.0s, 1.5 s, and 2.0 s. B. Total distance traveled by the dog between t= 0.0 s and t=2.0 s. C. Average speed of the dog between t= 0.0 s and t= 2.0 s. D. Average velocity of the dog between t = 0.0 s and t = 2.0 s. 7. The position coordinates of a particle are given by x = In(1 + 2t), y = 2 cos(nt), and z = tsin(nt/2) where x, y,and z are in meters while t is in seconds. Determine the following quantities: A. Position vector at t=0,0 s and t 1.0 s B. Distance of the particle from the origin at t=0.0 s and t= 1.0 s C. Average velocity in the time interval t=0,0 s to t=1.0 s D. Instantaneous velocity at time t=0.0 s, and at time t-1.0 s E. Average acceleration in the time interval t=0.0 s to t=1.0 s F. Instantaneous acceleration at time t= 0,0 s, t=0,5 s, and t = 1.0 s 8. The position coordinates of a particle are given by x = R cos(2nt/T), y = Rsin(2nt/T), and z = 0 where R and T are constants with units, respectively, of length and time. Determine the following quantities:
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