Hammers took control from the outset and led within five minutes when Paddy Hester's whipped free kick cannoned off the crossbar and Billy Walker bundled home the rebound.
Young striker Alex Martin slotted away his seventh league goal of the season after half an hour before Shaun Brian and Aaron Corby found the net with thumping headers from Micky Hubbard corners in the second half.
Kemp told the Daily Echo: “It was a thoroughly professional performance from the players but the most pleasing thing was the accuracy of our deliveries.
“When the service is that good, all you have to do is get something on them and it is good to see such a threat from dead-ball situations.”
Hammers: Ackerman, Walker, Hester, Brian, Haysom, Corby, Allen, Hubbard (Webb, 75), Cook, Martin (Miles, 65), Penny. Unused subs: Cole, Osborne, Thomas (g/k).
- Elsewhere in the Wessex Premier, Verwood Town lost 1-0 at home to Sholing, while in Division One, Kabba Jack's hat-trick helped New Milton Town to a 5-0 win at East Cowes Victoria.
Potters: Stroud, Evans, Murray, Oldring, Molyneaux, Dyer, Gajic, Hill, Lovell (Foster, 70), N Saxby, L Speechley-Price. Unused subs: M Speechley-Price, Rutten, Joy.