Question 34 - Problems - Chapter 2

Problem:

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

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:

$t_1 = 2s$

$t_2 = 2s$

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

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

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