Why does my car makes a jacking movement/noise each time i engage it to gear.

What is your question?

This happen often after i have driven for a while or say when the engine is hot. If you engage it to eithe drive or reverse, you will hear a heavy jack/noise either moving back or forward pending which gear you choose either reverse or drive. It doesn't do this early in the morning or when the car has cooled down. I equally notice vibration from the car when my spped gets to say 110, and on passing to above 110 (say 120 upwards) the vibration ease. Am suspecting this issues to come from the gear system. I bought the car from a friend with Odo 59,200 and presently is just only at odo 59,846.