A verticle is moving due north with an absolute velocity `54 km//h`. An observer at `P` is at distance `30 m` to the west of the line of travel. What is the angular velocity of vehicle relative to the observer at `t=0` and `t=2 s`.

Explanation

`54km//h=54xx(5)/(18)=15 m//s`
At `t=0`
`omega=(15)/(30)=(1)/(2)rad//s`
At `t=2 s`

`omega=(15cos 45^(@))/(30sqrt2)=(1)/(4)rad//s`