Serena drops a 5-kg book down the stairwell. What is the book's final velocity vf after it falls freely for 4 seconds

39.2m/s

Explanation:

Given parameters:

Mass of book  = 5kg

Time taken for fall  = 4s

Unknown:

Final velocity of the book  = ?

Solution:

Serena dropped the book from rest therefore, the initial velocity of the book is 0.

 Let us find the appropriate motion equation to solve this problem;

        V  = U + gt

V is the final velocity

U is the initial velocity

g is the acceleration due to gravity  = 9.8m/s²

t is the time taken

  Insert the given parameters and solve;

       V = 0 + 9.8 x 4  = 39.2m/s

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.

i think its c if i'm wrong