Answer:
The quasar is moving with 0.68 the speed of light.
Step-by-step explanation:
let v be the speed quasar is moving with away from us, z be the redshift and c be the speed of light.
Using the relativistic doppler shift formula, the fraction of the speed of light that the quasar is moving away from us is given by:
v/c = [(z - 1)^2 -1]/[(z - 1)^2 + 1]
= [(3.3 - 1)^2 -1]/[(3.3 - 1)^2 + 1]
= 0.68
Therefore, the quasar is moving with 0.68 the speed of light.