The table below describes four waves by their equations, in whichall distances a
ID: 1726546 • Letter: T
Question
The table below describes four waves by their equations, in whichall distances are measured in centimeters and all times aremeasured in seconds. For each wave, answer the following "yes-no"questions:(a) Does it travel in the+x direction?wave (a) (b) (c) (d) (e) 3cos(-17x + 13t) ?YN ?YN ?YN ?YN ?YN 6cos(-11x + 19t) ?YN ?YN ?YN ?YN ?YN 8cos(23x + 29t) ?YN ?YN ?YN ?YN ?YN 6cos(5x + 3t) ?YN ?YN ?YN ?YN ?YN wave (a) (b) (c) (d) (e) 3cos(-17x + 13t) ?YN ?YN ?YN ?YN ?YN 6cos(-11x + 19t) ?YN ?YN ?YN ?YN ?YN 8cos(23x + 29t) ?YN ?YN ?YN ?YN ?YN 6cos(5x + 3t) ?YN ?YN ?YN ?YN ?YN wave (a) (b) (c) (d) (e) 3cos(-17x + 13t) ?YN ?YN ?YN ?YN ?YN 6cos(-11x + 19t) ?YN ?YN ?YN ?YN ?YN 8cos(23x + 29t) ?YN ?YN ?YN ?YN ?YN 6cos(5x + 3t) ?YN ?YN ?YN ?YN ?YN
(b) Does it travel in the -x direction?
(c) Does it wave has the highest frequency (of the four waves)?
(d) Does it have the greatest wavelength (of the four waves)?
(e) Does it have the greatest speed (of the fourwaves)?
Explanation / Answer
(a) (b) (c) ( d) ( e )3cos(-17x + 13t) Y N N N N 6 cos(-11x + 19t) Y N N N Y 8cos(23x + 29t) N Y Y N N 6cos(5x + 3t) N Y N Y N