A jeep is moving on a straight road due north with a uniform speed of 60 km `h^(-1)` . When it turns left through 90°. If the speed remains unchanged after turning, the change in the velocity of the jeep in the turning process is :

Options

A. 50 km `h^(-1)` the west
B. 60 `sqrt(2)km h^(-1)` in N-W direction
C. 60 `sqrt(2)km h^(-1)` in S-W direction
D. None of these.

Answer

C

Explanation

`vec(V_(1))`=60km/h due north.
`vec(V_(2))`=60km/h due west.
`:. Deltavec(V) = vec(V_(2))-vec(V_(1))=vec(V_(2)) + (-vec(V_(1)))`…(i)
`|Deltavec(V)|=sqrt(V_(2)^(2)-V_(1)^(2))=sqrt((60)^(2) + (60)^(2))`Equation (1) confirms that direction of `DeltaV` is SouthWest.