10. which of the following statements is accurate?
a. sound waves passing through the air will do so as transverse waves, which vibrate vertically and still retain their horizontal
positions.
b. compressions and rarefactions occur throughout a transverse wave.
c. the wavelength of both traverse and longitudinal waves is measured parallel to the direction of the travel of the wave.
d. amplitude of longitudinal waves is measured at right angles to the direction of the travel of the wave and represents the
maximum distance the molecule has moved from its normal position.

Before coming into conclusion first we have to understand the nature of longitudinal wave and transverse wave.

The longitudinal wave is a type of mechanical wave in which the direction of wave propagation is parallel to the particle vibration.In such type of wave one will notice compressions and rarefactions.

Compressions are the high pressure zones where the particles are very close to each other and rarefactions are the low pressure regions where there is  large separation between particles. Hence a longitudinal wave is a series of compresions and rarefactions.

The wavelength of a longitudinal  wave is the distance between two successive compressions or rarefactions. Hence the wavelength is measured parallel to the direction of wave.  As the particle vibration is parallel to wave propagation ,so the amplitude of the wave is measured parallel to wave direction.

Transverse wave is such type of mechanical wave in which the particle vibration is perpendicular to wave propagation.Here crests and troughs are formed.

The distance between two successive crests or troughs are called wavelength which is measured parallel to the wave propagation. As the particle vibration is perpendicular to wave propagation,so the amplitude of the wave is measured perpendicular to the wave propagation.It is so because  amplitude of the wave is the maximum distance travelled by the particle from equilibrium position.

Out of the four options given in the question only the option 3 is correct .Other options are wrong as violate the nature of longitudinal and transverse waves.

speed

ratio of distance traveled to time interval

net force

vector sum of forces on object

object

source of diverging light rays either luminous or illuminated

don't remove my answer im trying my best to answer them

explanation:

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west