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Get a wheel balance and see if that fixes it.

That would be the 60mph shimmy

Heed JBTs advice!
It should cure it... if not... maybe some body bracing is in order

Put some photos up on your \"My Car\" page!
And, welcome to the forum!

Cold tyres and especially if car has been parked for a while, can attribute to the shakes. If this is the cause, the car should feel better when the tyres heat up. Certain tyres are more prone to this, as they develop a short term flat spot.

balance, not alignment.

You did not say where you bought it- perhaps if from a dealer you have a warranty. If you bought it privately then I suggest that you get it checked immediately to determine the cause( don't assume it is wheels even if the most likely) . A simple wheel balance is quick to check and not expensive . Your description tells me to get it attended to pronto.

While they are doing the wheel balance get them to check for bent rims and out of round tyres. But like the others have said it's probably nothing more serious than a missing wheel weight.

get the wheels balanced and check whether or not one of the wheels is buckled bent ...

as my rear d/s is buckled i can feel vibration when i'm doing 100km/h 110 its a bit smoother same goes with 90km/h but 100km/h is where mine vibrates

If a normal wheel balance doesn't fix it, find a place where they do on-car balancing.
That is, they rotate the wheel while it is still on the car and ad the balance weights where required.

Buckled rims are also a cause for shaking and wheels are often buckled on the inside of the rim where it can be difficult to see them.

If the rims are taken off to blance them, any buckling should be easily noticed.

Don't be too worried about this Ifg, it is a very common problem and is usually easy to fix.