The velocity of a body is `100 km h^(-1)`, 30^(@)` west of south . Find the north ad east components of the vector.

Explanation

The angke which the given velocity makes with thenorth direction is ` 180^@ -30^@ =150^@`. The component velocity aling north ` =v cos 150^@`.
`= 100 xx (- sqrt 3 // 2) =- 86.6 km h^(-1)`
The angle which the given velocity makes with the east direction is ` 90^@ + 30^@`. The component velocity along east ` =v cos 120^@`
`= 100 xx (- 1//2)`
`= - 50 km h^(-1)`.