The following EM waves travel in vacuum: (i) yellow light, (ii) cell phone signal, (iii) x-ray, (iv) FM radio, (v)infrared light, and (vi) red laser. a. Rank their wavelengths from smallest to largest

Rank of the wavelengths of different waves is as follows

The smallest wave is X - Ray & the largest is  FM radio waves.

Explanation:

The rank of the EM waves travel in vacuum are as follows:-

1. X - Ray

2. Red Laser

3. Yellow light

4. Infrared

5. Cell phone signal

6. FM radio

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

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