Will give correct answer brainliest please help

Two cars are involved in a head-on collision in an alley. The driver of a car with mass,
ma = 1,200 kg claims to have been traveling west at via = 7 m/s. The driver of the
other car with mass, mb = 1,000 kg claims to have been traveling east at vib - 10
m/s. The investigating officer found that both cars were stuck together and traveled
with a common final velocity of 3 m/s, eastward, after the collision.
Assuming that at least one driver is correct, what does an application of the law of
conservation of momentum allow the officer to conclude about the accident?
The driver of the westbound car was moving significantly faster than reported.
Both drivers correctly reported their velocities at the time of the collision.
Either the driver of the westbound car overestimated his velocity or the driver of
the eastbound car underestimated his velocity,
KID Either the driver of the westbound car underestimated his velocity, or the driver
of the eastbound car overestimated his velocity.

Either the driver of the westbound car overestimated his velocity or the driver of the eastbound car underestimated his velocity,

[tex]m_a[/tex] = Mass of west moving car = 1200 kg

[tex]m_b[/tex] = Mass of east moving car = 1000 kg

[tex]v_{ia}[/tex] = Velocity of west moving car = -7 m/s

[tex]v_{ib}[/tex] = Velocity of east moving car = 10 m/s

v = Combined velocity of the cars = 3 m/s

From the conservation of momentum we get

[tex]m_av_{ia}+m_bv_{ib}=(m_a+m_b)v\\\Rightarrow 1200\times -7+1000\times10=(1000+1200)\times 3\\\Rightarrow 1600\neq 6600[/tex]

So, either westward ( [tex]1000\times10[/tex] ) moving car needs to have more velocity or eastward ([tex]1200\times -7[/tex]) moving car needs to have less velocity.

Since, mass is constant only the velocity can be different.

The correct option is

Either the driver of the westbound car overestimated his velocity or the driver of the eastbound car underestimated his velocity.

Learn more:

https://brainly.com/question/14432179?referrer=searchResults