The structure of VPs

Look at the following examples:

a) Peter might [miss the school bus tomorrow deliberately].
b) She will [read the letters in the summerhouse this afternoon].
c) The baby might [sleep after lunch].
d) The boy will [easily eat the piece of cake in a second].
e) Sally [wrote the note with her new pen].

1. For each VP, identify the head. List the complement and adjunct(s) and name their phrasal category.
(If complements or adjuncts are absent, insert "/". If there are two adjuncts, name the one on the left first.)

a) VP[miss the school bus tomorrow deliberately]

Source of the picture:
cleanairsys.com

(:vips 10539:)

b) VP[read the letters in the summerhouse this afternoon]
(:vips 10540:)
c) VP[sleep after lunch]
(:vips 10541:)
d) VP[easily eat the piece of cake in a second]
(:vips 10542:)
e) VP[wrote the note with her new pen]
(:vips 10543:)

2. Draw a simplified tree diagram to represent the structure of each VP.

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