Jet engines don't leave contrails until they hit the super cold air of the atmosphere. Exhaust contrails usually occur at above 26,000 feet. where the temperature is below -40°F. So to cause a contrail like that from the surface speaks to the type of fuel being burned. Most likely a solid fuel (rocket Fuel) is being burned and no known air craft burns solid fuel in that way.

Now the other thing that confuses me is the speed at which the object seems to be moving. It is not moving fast enough or on the correct trajectory for leaving the atmosphere and entering space. It also way to big for a amateur rocket builder and also on the wrong trajectory that is normally associated with that hobby.