The structure of VPs: Tree diagrams

Note:
In the tree diagrams below we represent constituents of the type [determiner + noun] (e.g. the door) as NPs. In a more recent analysis, determiners are considered to be the head (D) of a determiner phrase (DP), and the noun functions as its NP-complement. Thus, if you have treated constituents of the type [determiner + noun] as DPs when doing this exercise, this is a correct alternative analysis.
For further information on DPs click here.

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].

Note: In the tree diagrams above constituents of the type [determiner + noun] are represented as NPs. In a more recent analysis, determiners are considered to be the head (D) of a determiner phrase (DP), and the noun functions as its NP-complement.
For further information on DPs click here.