This note presents the prospects of searches for new heavy resonances decaying to diboson (WW) and measurements of electroweak WW/WZ production via vector boson scattering (VBS) in association with a high-mass dijet system in the $ell u qq$ final states ($Wtoell u$, $W/Zto qq$). The prospects are presented for an integrated luminosity of 15 ab$^{-1}$ of proton-proton ($pp$) collisions at $sqrt{s}=27$ TeV with an ATLAS-like detector simulated in the Delphes framework. The cross-section measurement of the electroweak $WW/WZ$ production in VBS processes is expected to reach the precision of $sim$2-3%, improving the expected accuracy at the HL-LHC by a factor of 2. Prospects are presented also for the separation of the longitudinal component of the electroweak $WW/WZ$ production, showing the expected significance of $sim3sigma$ is reached with 3 ab$^{-1}$ for the single $ell u qq$ channel and $sim5sigma$ for all the semi-leptonic channels combined. The diboson resonance searches are interpreted for sensitivity to a simplified phenomenological model with a heavy gauge boson. With 15 ab$^{-1}$ of $pp$ data, the discovery reach for the new resonance is extended to 8 TeV.
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