We'd need to start cracking some kind of jumping/FTL/etc technology to have any hope of real exploration.
Caveats:
1. It's really, really hard to supply enough energy to go that fast, even with fusion power.
2. Your passengers won't be able to go home again, because by the time they get back everyone they've ever known will be long dead.
3. Even if you could go that fast, you'll eventually hit a speck of dust and disintegrate.
At 1% the speed of light (approx 3000000 m/s) and a medium-mass dust (1x10-5 kg, stationary), not enough force or area to dent steel (350 N/mm^2), but over time, lots of dust could cause erosion (quick math/estimates).
I was thinking v would be more like 10% of c, which would mean about 1000kG (1 kiloton) of TNT, or about 1/20 of the energy of the Hiroshima atomic bomb. From a particle of dust weighing 10mG. You'd be toast.