Quantum Physics Please answer correctly, I have only one chance to answer. Thank you so much. a) In the dark months of w

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Quantum Physics
Please answer correctly, I have only one chance to answer.
Thank you so much.
a) In the dark months of winter, Pentti
went on a holiday trip to the USA, and in the holiday season, he
ended up buying a good old American iron. The old American cars are
known for their large size, and when he returned home, Pentti was
in for a nasty surprise: the car (length 5.4 meters) did not fit in
his European garage (length 4.6 meters). Fortunately, however,
Pentti had once studied modern physics, and he got the idea: He
would use the proportional length contraction to fit the car in the
garage.
At what speed should Pentin drive the car to the garage to fit
completely inside the garage? Give the answer in m/s and to three
significant figures.
b) Police stopped a motorist driving at a
wild pace towards the reds, but the motorist claimed to have seen a
green light. Police suggest the relativistic Doppler effect of
light as an explanation. At what speed did a motorist have to drive
towards a red traffic light if he saw it green?
The wavelength of red light was 630 nm, and that of green light
was 560 nm. Give your answer in km/h to three significant
figures.