A jet airplance travelling at the speed of ` 500 km ^(-1)` ejects its products of combustion at the speed of ` 1500 km h^(-1)` relative to the jet plane. What is the speed of the burnt gases with respect to observer on the ground ?

Options

A. `1000 kmh^(-1)` in the direction west to east
B. `1000 kmh^(-1)` in the direction east to west
C. `2000 kmh^(-1)` in the direction west to east
D. `2000 kmh^(-1)` in the direction east to west

Answer

A

Explanation

`vec(V)_(A)=-500 hati rArr vec(V)_(GA)+vec(V)_(A)=V_(GAS)`
`vec(GA)=1500 hatirArr 1500 hati-500 hati=1000 hati`