Final answer: The minimum uncertainty in the momentum of the object can be determined using the uncertainty principle, which states that the product of the uncertainties in position and momentum is greater than or equal to the reduced Planck constant. The minimum uncertainty in the object's velocity can be determined using the equation Δv = Δp / m, where Δp is the uncertainty in momentum and m is the mass of the object.Explanation:To determine the minimum uncertainty in the momentum of the object, we can use the uncertainty principle. The uncertainty principle states that the product of the uncertainties in position (Δx) and momentum (Δp) is greater than or equal to the reduced Planck constant (h/4π).In this case, the length of the line is given as 2.5 m. Since the object is somewhere along this line, we can take the uncertainty in position (Δx) to be half the length of the line, which is 1.25 m.Using the uncertainty principle equation, we can calculate the minimum uncertainty in momentum (Δp): Δx * Δp >= h/4π. Plugging in the values, we have 1.25 m * Δp >= h/4π.Similarly, to determine the minimum uncertainty in the object's velocity, we can use the uncertainty principle. The uncertainty in velocity (Δv) is related to the uncertainty in momentum (Δp) by the equation Δv = Δp / m, where m is the massof the object.In this case, the object is a golf ball with a mass of 0.045 kg. Plugging in the values, we have Δv = Δp / 0.045 kg.By solving these equations, we can find the minimum uncertainty in the momentum of the object and the minimum uncertainty in the object's velocity.
hope this helps! :)