This film was one of several that I saw in high school. I think one of them was called Blood Alley

That is indeed Signal 30. I went to high school in Ohio during the 1960s and I remember this movie or one very like it was screened for our driver's education class. It had considerable shock value for the day. Blood Alley was another one we saw too.

Note that the 1960 Dodge was a stick shift car. If one was looking for an automatic transmission pushbutton delete plate that car had one. It is probably about 50 years too late to try to find it now, if it even still exists, though.

The 1953 Buick Super the 1960 Dodge rammed into was interesting too. My dad had one just like it back in the late 1950s. His was black with a white top though. He traded it in for a 1955 Buick Century which was white with a green top. He liked the speed that nailhead V-8 gave the '55 and he drove it like a moonshiner.