Answer:
A) receding from the earth
B) 
Explanation:
- A) receding from the earth
The wavelength went from 434.1nm to 438.6nm, there was an increase in wavelength (also knowecn as redshift due to the doppler efft), this increase is due to the fact that the source that emits the radiation (the distant galaxy) is moving away and therefore the light waves it emits are "stretched", causing us to see a wavelength greater than the original.
- B)

to calculate the relative speed we use the following formula:

where
is the speed of light:
is the wavelength emited by the source, and
is the wavelength measured on earth.
we substitute all the values and do the calculations:

the relative speed is: 
Answer:
The Temperature is the measure of Average Kinetic Energy of the molecule in the substance.
Temperature and Kinetic Energy of molecules are related by the equation

Where
<E> denotes average kinetic energy
k - Boltzmann constant
T - Temperature of the substance
Explanation:
The energy inside the substance is characterised by translational and vibrational motion.
The molecules in a substance have a range of kinetic energies because they don't all move at the same speed. As a substance absorbs heat the particles move faster so the average kinetic energy and therefore the temperature increases.
As the molecules of a substance vibrate faster their temperature increases.
Thus an increase energy corresponds to an increase in temperature
<E> α T (α denotes proportionality)
