Consider a fly trapped in a one-dimensional room, ie, the fly can fly in one dimension only. Two opposite walls of the room are 20m apart and the fly is on one of the walls. The walls begin to move towards each other with constant speeds, one 0.5 m/s, the other 1.0 m/s, when the fly takes off towards the other wall, it urns back and flies towards the first wall. This goes on, while the walls keep moving towards each other, until the fly is squashed when the walls unite. Assume the speed of the fly is constant and is 2 m/s at all times and no time is lost at turns. Assume the motion is one dimensional and the fly was on the fast moving wall initially.
a) What is the total distance the fly flies before it is squashed?
b) What point in one-dimensional room is the fly squashed (describe the location)?
c) What is the displacement vector (magnitude and direction) of the fly when squashed?)
d) What is the velocity vector (magnitude and direction) of the fly when it is squashed?