Ram has been caught red handed doing notorious activities and is punished to run back and forth in a `20 m` long corridor from room number `109` to the other end. Ram starts running from room number `109`, touches the other end, returns and toushes the door of room number `109` and so on for `65` minutes continouslyafter which he drops down exhaustd. His speed is seen to be `v=sqrt(100-X^(2))m//s` where `X` is the distance (in `m`) from the centre of the corridor. how many times did he touch the other end during this time interval. `(Take:pi3.14)`