How would you determine the acceleration from a v vs. t graph?

The acceleration is the slope of the v/t graph.

-- If the graph is a straight line, then pick any piece of the line, or even the whole graph, and divide (change in 'y') by (change in 'x') for the piece you chose.

-- If the graph is a curve or a squiggle, then you can do the same thing with a piece of it, and you get the average acceleration during that piece.

-- If you need the acceleration at one point on the graph, you have to lay a straight line against that point on the graph, and find the slope of that straight line.

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.