Obtain an explicit formula for the velocity of the ball v leaving the spring gun in terms of the measured quantities, v(h, ?x), where h is the height of the spring gun and ?x is the horizontal distance traveled by the ball. Include the uncertainty in this velocity, δv, in terms of the quantities δh and δ?x (the most concise expression for the uncertainty δv as a consequence of the uncertainties in the measured quantities that determine v is δv = ∂v ∂h δh + ∂v ∂?x δ?x).