A 9230-kg truck collides head on with a 1250-kg parked car. The vehicles entangle together and slide a linear distance of 10.6 m
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Parameterize the intersection by setting 
, so that
The length of the path
is then given by the line integral along ,
where
. We have
and so the line integral is
This result is fortuitous, since we can write
and so the integral reduces to
The length of the path
where
and so the line integral is
This result is fortuitous, since we can write
and so the integral reduces to