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 aconstant speed of 3.0 cm/s for 1.0 s, rests momentarily for 2.0 s, moves in the –xdirection at a constant speed of 1.0 cm/s for 1.5 s, and then moves in the –y directionat 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 sB. Total distance traveled by the ant between t=0.0 s to t=7.0 sC. Displacement vector of the ant between t = 0.0 s and t = 7.0 sD. 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 sF. 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 s6. A dog running in an open field is at location (1.0 m, 2.0 m) at time 0.0 s. It moves1.0mwith a constant velocity of v,2.0mî in the time interval t = 0.0 s to t =1.0 s. It moves with a constant velocity of , =2.0m,1.0mî+ o"j in the time intervalt = 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. Determinethe following quantities:A. Position vector at t=0,0 s and t 1.0 sB. Distance of the particle from the origin at t=0.0 s and t= 1.0 sC. Average velocity in the time interval t=0,0 s to t=1.0 sD. Instantaneous velocity at time t=0.0 s, and at time t-1.0 sE. Average acceleration in the time interval t=0.0 s to t=1.0 sF. Instantaneous acceleration at time t= 0,0 s, t=0,5 s, and t = 1.0 s8. 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, oflength and time. Determine the following quantities:

Answered: Image /qna-images/answer/ec703915-4773-4f5c-aacd-32b1f13c117e.jpg

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

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 65P

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