Need help with escape velocity practice problem

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To determine the initial speed required for an object launched from Saturn to achieve a final speed of 28,000 m/s far from the planet, the relevant equation involves energy conservation, specifically ΔE + ΔU = 0. The mass of Saturn is 570 x 10^24 kg, and its radius is 60,300 km. The correct formula derived is Vi = sqrt(Vf^2 + 2GMs(1/Δr). The calculated initial speed needed is 45,300 m/s, but the user initially encountered a higher value due to unit conversion errors. Proper unit conversions are essential for accurate calculations in physics problems.
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Homework Statement



The radius of Saturn (from the center to just above the atmosphere) is 60300 km (60300✕103 m), and its mass is 570✕1024 kg. An object is launched straight up from just above the atmosphere of Saturn.

What initial speed is needed so that when the object is far from Saturn its final speed is 28000 m/s?


Homework Equations



I'm using ΔE + ΔU = 0 and then I'm trying to derive the equation needed to solve it with the information I have. So I get Vi = sqrt(Vf^2 + 2GMs(1/Δr))

Ms = mass of saturn

The Attempt at a Solution



The answer is 45300 m/s, but I'm getting something way higher with the equation I'm using.
 
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Just kidding. Figured it out, I messed up on the unit conversions.
 

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