To a person, going eastward in a car with a velociyt of `25km//hr`, a train appears to move towards north with a velocity of `25sqrt(3) km//hr`. The actual velocity of the train will be

Options

A. `25km//h`
B. `50km//h`
C. `5 km//h`
D. `53km//h`

Explanation

(b) Let `v_(t)=` actual velocity of train

`v_(c)=` actual velocity of car
`:. v_(tc)=` relative velocity of train with respect to car
`:.v_(c)=25hati` and `v_(tc)=25sqrt(3)hatj`
`:'v_(tc)=v_(t)-v_(c)`
`:.v(t)=v_(tc)+v_(c)=25sqrt(3)hatj+25hatj`
`:'v_(t)=sqrt((25sqrt(3))^(2)+(25)^(2))=25sqrt(4)=50km//h`