When Will the Compass Hit the Ground?

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A hot-air balloon rises at a constant speed of 2.51 m/s and drops a compass from a height of 3.01 m. The initial calculations for the time it takes for the compass to hit the ground initially yielded incorrect results, with one attempt showing 0.014 seconds and another 0.925 seconds. The correct approach involves using the kinematic equation y = y0 + v0Δt + 1/2aΔt^2 to solve for time. After correcting the math, the accurate time for the compass to reach the ground is determined. The discussion emphasizes the importance of careful calculations in physics problems.
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Homework Statement

A hot-air balloon is rising upward with a constant speed of 2.51m/s. When the balloon is 3.01m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

Homework Equations

y=ynot+vnotΔt+1/2aΔt^2



The Attempt at a Solution

i used the quadratic equation to find t which was 0.014s
but i don't know where to go from here i have to find the rang but when i do that i get wrong answer
 
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actually iam getting the t to be 0.925s
 
wrong math on that ...now its right!
 
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