Physical, the same as when He was taken up.
The explicit mention can be found in other passages.
Here's the first passage you mentioned:
" And while they looked stedfastly toward heaven as he went up, behold, two men stood by them in white apparel;
11 which also said, Ye men of Galilee, why stand ye gazing up into heaven? this same Jesus, which is taken up from you into heaven, shall so come in like manner as ye have seen him go into heaven." ( Acts of the Apostles 1:10-11 )
Take all the information from the endings of the previous 4 Gospels ( Matthew 28:9, Luke 24:36-53, John 20:19-28 for example ),
as a composite, and carry them over to Acts of the Apostles 1:9-11.
I'm not sure why this is so hard to believe, Tom.
We "reconcile it" by believing all that is said in God's word, because it is God's word, Tom:
"Behold my hands and my feet, that it is I myself: handle me, and see; for a spirit hath not flesh and bones, as ye see me have.
40 And when he had thus spoken, he shewed them [his] hands and [his] feet.
41 And while they yet believed not for joy, and wondered, he said unto them, Have ye here any meat?
42 And they gave him a piece of a broiled fish, and of an honeycomb.
43 And he took [it], and did eat before them." ( Luke 24:39-43 )
He appeared before them as a man, with flesh and bones ( but not blood ) and then proceeded to eat a piece of fish and some honey.
He was then taken up in the same
form as they had seen Him:
" And he led them out as far as to Bethany, and he lifted up his hands, and blessed them.
51 And it came to pass, while he blessed them, he was parted from them, and carried up into heaven." ( Luke 24:50-51 ).
The context of Him being taken up, is the same context of Him urging them to behold His hands and His feet...there is no mention made of Him assuming spirit
before He was carried up.
The "manner" is, "taken up" / "carried up".
The "form" is,
physically.
This has only happened to two other men in all of history:
Enoch ( Genesis 5:24 ).
Elijah ( 2 Kings 2:1-11 ).
He didn't depart as a spirit, and He will not come again as a spirit.
Here's the next one:
" Now this I say, brethren, that flesh and blood cannot inherit the kingdom of God; neither doth corruption inherit incorruption." ( 1 Corinthians 15:50 )
Flesh and blood shall not inherit the kingdom of God...it doesn't say anything about flesh and bones not being able to inherit the kingdom of God.
Again, I'm not sure why you find this so hard to believe.