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If a body is dropped in a vacuum from a height y0 above the floor, its acceleration is y''(t) = -g, so its speed is

If a body is dropped in a vacuum from a height y0 above the floor, its acceleration is y''(t) = -g, so its speed is y'(t)=-gt and its height is y(t) = ((-gt^2)/ 2)+y0 at time t after being dropped, so it hits the floor at time t1 = sqrt(2y0/g) We are trying to measure g by dropping a body in a vacuum. The measurements showed that y0 was 5.00 0.02m and time t1 to hit the ground was 1.00 0.01s. Use linear approximation to get an approximate upper bound on the inaccuracy of g due to inaccuracies in y0 and t1

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