Nate the Skate was an avid physics student whose main non$-$physics interest in life was high$-$speed skateboarding. In particular, Nate would often don a protective suit of Bounce$-$Tex, which he invented, and after working up a high speed on his skateboard, would collide with some object. In this way, he got a gut feel for the physical properties of collisions and succeeded in combining his two passions.$*$ On one occasion, the Skate, with a mass of $113$ kg$,$ including his armor, hurled himself against a $825$ kg stationary statue of Isaac Newton in a perfectly elastic linear collision. As a result, Isaac started moving at $1\mathrm{.}15$ m$/$s and Nate bounced backward. What were Nate's speeds immediately before and after the collision? $($Enter positive numbers$).$ Ignore friction with the ground.