Fun fact, in order to "shoot" anything into the sun you'd actually just go in the opposite direction of Earths orbit to cancel out it's orbital velocity and let said object fall in.
And you'd have to use the technology developed by a billionaire run company most likely.
Couldn't get to the moon. Most of their "achievements" were jokes. Gagarin bailed out of his capsule with a parachute & USSR lied about it to win prize.
They kept sending their best engineers to gulags when they didn't perform and were surprised when the rest didn't improve. Fear is not that great a motivator.