Up and down movement is caused by gravity acceleration on (0,-1,0) and an initial upward velocity.
For left to right physics based just repeat it.
Initially a velocity leftwards like the characters -hrp.CFrame.RightVector to present the initial kick
and an acceleration force in the direction of hrp.CFrame.RightVector or rightwards to represent the spin causing the aerodynamics lift phenomenon thingy. Vector force or Bodyforce should do the same thing.
Be sure to remove the acceleration or slowly decrease it after a while to represent drag forces or air friction.