To solve this problem, we will apply the concepts related to momentum both for an undulating particle given by the Planck constant and the wavelength, as well as the product between the mass and the speed. We will match the terms and then compare
[tex]\text{Mass of the Ferrari} = m = 1400kg[/tex]
[tex]\text{The Wavelength} = \lambda = 10m[/tex]
The momentum of the car is given as,
[tex]P = \frac{h}{\lambda}[/tex]
Here,
[tex]h = \text{Plank's constant} = 6.63*10^{-34}J\cdot s[/tex]
The momentum of the car related with the speed is
[tex]P = mv[/tex]
Equation we have
[tex]mv = \frac{h}{\lambda}[/tex]
[tex]v = \frac{h}{m\lambda}[/tex]
Replacing with our values we have that,
[tex]v = \frac{(6.63*10^{-34}J\cdot s)}{(1400kg)(12m)}[/tex]
[tex]v = 3.946*10^{-38}m/s[/tex]
Now the wavelength will be
[tex]\lambda = \frac{h}{mv}[/tex]
[tex]\lambda = \frac{(6.63*10^{-34}J\cdot s)}{(1400kg)(30m/s)}[/tex]
[tex]\lambda = 1.578*10^{-38}m[/tex] << 12 m
Therefore the speed is 30m/s, then we get the wavelength is less than 12m. The diffraction is not occurring
