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).
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).
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