Falling object with random pictures taken

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SUMMARY

The discussion centers on the physics of a falling object, specifically a rock dropped from a height h, with the equations of motion defined as x(t) = 1/2 g t^2 for distance and v(t) = g t for velocity. The total flight time is calculated using T = Sqrt[2 h/g]. A key point of confusion arises regarding the probability of the camera flashing at random intervals, specifically the assertion that "the probability that the camera flashes in the interval dt is dt/T." This statement is confirmed as accurate under the assumption of continuous random sampling during the fall.

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  • Basic calculus to comprehend the implications of random intervals.
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  • Study the principles of kinematics in physics, focusing on free fall.
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gibxam
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Suppose I drop a rock off a cliff at height h. As it falls, I snap a million photographs at random intervals. On each picture I measure the distance the rock has fallen. Ignoring air resistance:

x(t) = 1/2 g t^2
v(t) = g t

total flight time = T = Sqrt[ 2 h/g]

My confusion is that in this statement: "The probability that the camera flashes in the interval dt is dt/T" I don't see how or why this statement is true.
 
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That would be true if you snapped exactly ONE pic at a random time. Are you sure you understood the problem right?
 

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