Answer:
[tex]\triangle v=1.57*10^-^3^5miles/hour[/tex]
Explanation:
From the question we are told that
Mass of of automobile M= 1500 kg
Generally the equation of the uncertainty principle is given by
[tex]\triangle p=\frac{h}{ \triangle x}[/tex]
[tex]\triangle p=\frac{1.054*10^-^3^4}{ 10^-^2}[/tex]
[tex]\triangle p=1.054*10^-^3^2[/tex]
Generally the uncertainty in velocity is mathematically given by
[tex]\triangle v=\frac{\traingle p}{m}[/tex]
[tex]\triangle v=\frac{1.054*10^-^3^2}{1500}[/tex]
[tex]\triangle v=7*10^-^3^6m/s[/tex]
Therefore the minimum uncertainty in the velocity (in miles per hour)
[tex]\triangle v=7*10^-^3^6*\frac{3600}{1609.3}[/tex]
[tex]\triangle v=1.57*10^-^3^5miles/hour[/tex]
