Complex Time, Speed & Distance Maths
There is a circular
race-track of diameter 1 km. Two cars A and B are standing on the track
diametrically opposite to each other. They are both facing in the
clockwise direction. At t=0, both cars start moving at a constant
acceleration of 0.1 m/s/s (initial velocity zero). Since both of them
are moving at same speed and acceleration and clockwise direction, they
will always remain diametrically opposite to each other throughout their
motion.
At the center of
the race-track there is a bug. At t=0, the bug starts to fly towards
car A. When it reaches car A, it turn around and starts moving towards
car B. When it reaches B, it again turns back and starts moving towards
car A. It keeps repeating the entire cycle. The speed of the bug is 1
m/s throughout.
After 1 hour, all 3 bodies stop moving. What is the total distance traveled by the bug?
