Calculate the height of a building using scale measurements

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To calculate the height of a building using scale measurements from an elevator ride, the initial scale readings during acceleration and deceleration must be analyzed alongside the constant reading when the elevator is normalized. The equations of motion, including v = (v0) + at and x = (x0) + (v0)t + (1/2)a(t^2), are relevant for determining the height. The challenge lies in calculating the times for the acceleration and deceleration phases, which are not directly provided. By assuming a time for the acceleration phase, it may be possible to derive the necessary accelerations from the scale readings. Ultimately, this approach could lead to a solution for the building's height.
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Homework Statement


Supposedly, I put an object on a scale inside the elevator of a building, the scale reads m1. I start the elevator to the top of the building, during acceleration, the scale reads m2. As the elevator normalized, the scale reads m1. During the deceleration at the top, the scale reads m3. The entire ride lasted t seconds. I am asked to calculate the height of the building using this data.

Homework Equations


I am not sure if these are all the equations i need:

v = (v0) + at
x = (x0) + (v0)t + (1/2)a(t^2)
(v^2) = (v0)^2 + 2a(x-(x0))

The Attempt at a Solution


I have calculated the height of the building using trigonometry by using a protractor to find the angle from a point on the ground to the top of the building. Using that angle and a distance d on the ground, I was able to find the height using tan θ = y/d .
But I'm not sure how to use the scale data to get the height of the building.
 
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I think you've got it with those equations plus good old d = vt (which applies for most of the ride). It will be tricky to do the accelerated motion at the beginning and end since you don't know their times. I would suggest assuming time t1 for the acceleration phase. Likely you will be able to calculate the deceleration time from that and the mass (weight?) measurements, from which the accelerations can be found. Who knows, maybe the t1 will disappear in the final answer.
 
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