Chapter-2 Q034 - Physics For Engineers And Scientists - Solutions

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Question 34 - Problems - Chapter 2

Problem:

The position of an automobile as a function of time is plotted in the Figugere below. 0 s.

Squarel on a telegraph-wire

Question:

a) What is the average velocity for 0<t<2.0 s? For 2.0<t<4.0 s?

b) Estimate the instantaneous velocity at t=1.0 s and at t=3.

Solution:

$t_1 = 2s$

$t_2 = 2s$

$\Delta s_1 = 0m-25m=25m$

$\Delta s_2 = 40m-25m=20m$

In [1]:
import numpy as np
t_1 = 2
t_2 = 2
d_s_1 = 25
d_s_2 = 20

v_1 = d_s_1 / t_1
v_2 = d_s_2 / t_2
print(f'a) The car\'average velocity in part 1 is: {v_1:.2f} m/s and in part 2 is {v_2:.2f} m/s')
print('b) The estimated instantaneous velocity at t=1s has aproximatly the same slope as the second part so 10 m/s')
a) The car'average velocity in part 1 is: 12.50 m/s and in part 2 is 10.00 m/s
b) The estimated instantaneous velocity at t=1s has aproximatly the same slope as the second part so 10 m/s

سُوۡرَةُ حٰمٓ السجدة / فُصّلَت
ثُمَّ اسْتَوَىٰ إِلَى السَّمَاءِ وَهِيَ دُخَانٌ فَقَالَ لَهَا وَلِلْأَرْضِ ائْتِيَا طَوْعًا أَوْ كَرْهًا قَالَتَا أَتَيْنَا طَائِعِينَ ﴿١١
فَقَضَاهُنَّ سَبْعَ سَمَاوَاتٍ فِي يَوْمَيْنِ وَأَوْحَىٰ فِي كُلِّ سَمَاءٍ أَمْرَهَا ۚ وَزَيَّنَّا السَّمَاءَ الدُّنْيَا بِمَصَابِيحَ وَحِفْظًا ۚ ذَٰلِكَ تَقْدِيرُ الْعَزِيزِ الْعَلِيمِ ﴿١٢


Surah Fussilat: Thereafter turned He to the heaven and it was as smoke, and said Unto it and Unto the earth: come ye twain, willingly or loth. They said: we come willingly. (11) Then He decreed them as seven heavens in two days, and revealed Unto each heaven the command thereof; and We bedecked the nether heaven with lamps and placed therein a guard. That is the ordinance of the Mighty, the Knower. (12)

De hemelen en aarde (waren) een samenhangende massa. Wij hebben ze toen van elkaar gescheiden… Wij hebben de hemel tot een beschermend dak gemaakt … en de dag en de nacht, de zon en de maan geschapen. (Koran 41 11:12)


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