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Q1 Measuring gravity by dropping a ball in a vacuum n an experiment, a ball was dropped through a vertial distnace from rest. The vertical distance tranversed and the corresponding time interva measured at these distances were 3.24, 2.68, 2.35, 1.87, 2.57,2.77 meters, with the corresponding time intervals 0.81, 0.74, 0.69, 0.61, 0.72, 0.75 seconds. The time intervals are measured with an error bar of 0.1 second. Determine the best-fit value of g by fitting the data points against the formula h = gt2 by taking into accont the error in time the time interval. Be reminded that the argument 'sigma' and absolut_sigma=True' in scipy.optimize.curve_fit() are associated with the error bar in h (not At). Hint : You have to calculate Ah for each pair of hị, t¡. Hint : Vour result should be the same (or almost the same) as that obtained using t - 2h

Q1 Measuring gravity by dropping a ball in a vacuum n an experiment, a ball was dropped through a vertial distnace from rest. The vertical distance tranversed and the corresponding time interva measured at these distances were 3.24, 2.68, 2.35, 1.87, 2.57,2.77 meters, with the corresponding time intervals 0.81, 0.74, 0.69, 0.61, 0.72, 0.75 seconds. The time intervals are measured with an error bar of 0.1 second. Determine the best-fit value of g by fitting the data points against the formula h = gt2 by taking into accont the error in time the time interval. Be reminded that the argument 'sigma' and absolut_sigma=True' in scipy.optimize.curve_fit() are associated with the error bar in h (not At). Hint : You have to calculate Ah for each pair of hị, t¡. Hint : Vour result should be the same (or almost the same) as that obtained using t - 2h

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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need help with python.

can modify/ refer from the code below

import numpy as np; from pylab import *;
import scipy.optimize
hdata=[3.24, 2.68, 2.35, 1.87, 2.57,2.77]
tdata=[0.81, 0.74, 0.69, 0.61, 0.72, 0.75];
error_in_t=np.ones(6)*0.1

def t(h,g):
return (2*h/g)**0.5

results=scipy.optimize.curve_fit(t,hdata,tdata,sigma=error_in_t,absolute_sigma=True)

gbest=results[0][0];
var=results[1][0][0];
se=var**0.5
print(gbest)
print(var,se)
Q1 Measuring gravity by dropping a ball in a vacuum In an experiment, a ball was dropped through a vertial distnace from rest. The vertical distance tranversed and the corresponding time interval measured at these distances were 3.24, 2.68, 2.35, 1.87, 2.57,2.77 meters, with the corresponding time intervals 0.81, 0.74, 0.69, 0.61, 0.72, 0.75 seconds. The time intervals are measured with an error bar of 0.1 second. Determine the best-fit value of g by fitting the data points against the formula h = gt² by taking into accont the error in time the time interval. Be reminded that the argument 'sigma' and 'absolut_sigma=True' in scipy.optimize.curve_fit() are associated with the error bar in h (not At). Hint : You have to calculate Ah for each pair of h;, t;. 2h Hint : Your result should be the same (or almost the same) as that obtained using t =
Transcribed Image Text:Q1 Measuring gravity by dropping a ball in a vacuum In an experiment, a ball was dropped through a vertial distnace from rest. The vertical distance tranversed and the corresponding time interval measured at these distances were 3.24, 2.68, 2.35, 1.87, 2.57,2.77 meters, with the corresponding time intervals 0.81, 0.74, 0.69, 0.61, 0.72, 0.75 seconds. The time intervals are measured with an error bar of 0.1 second. Determine the best-fit value of g by fitting the data points against the formula h = gt² by taking into accont the error in time the time interval. Be reminded that the argument 'sigma' and 'absolut_sigma=True' in scipy.optimize.curve_fit() are associated with the error bar in h (not At). Hint : You have to calculate Ah for each pair of h;, t;. 2h Hint : Your result should be the same (or almost the same) as that obtained using t =
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