A jet airplane travelling from east to west at a speed of 500 km h -1 ejected out gases of combustion at a speed of 1500 km h -1 with respect to the jet plane. What is the velocity of the gases with respect to an observer on the ground?

Question

A jet airplane travelling from east to west at a speed of 500 km h -1 ejected out gases of combustion at a speed of 1500 km h -1 with respect to the jet plane. What is the velocity of the gases with respect to an observer on the ground? (A) 1000 km h -1 in the direction west to east (B) 1000 km h -1 in the direction east to west (C) 2000 km h -1 in the direction west to east (D) 2000 km h -1 in the direction east to west

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/c93e16e8355c2c0afbbcdf4f262a6380-.png" /> vecvA=-500 hati and vecvG A=1500 hati ⇒ vecvG A+ vecvA= vecvG A S ⇒ vecvG A S=1500 hati-500 hati=1000 hati

Q. A jet airplane travelling from east to west at a speed of $500 km h^{- 1}$ ejected out gases of combustion at a speed of $1500 km h^{- 1}$ with respect to the jet plane. What is the velocity of the gases with respect to an observer on the ground?

$1000 km h^{- 1}$ in the direction west to east

$1000 km h^{- 1}$ in the direction east to west

$2000 km h^{- 1}$ in the direction west to east

$2000 km h^{- 1}$ in the direction east to west

$v_{A} = - 500 \hat{i}$
and $v_{G A} = 1500 \hat{i}$
$\Rightarrow v_{G A} + v_{A} = v_{G A S}$
$\Rightarrow v_{G A S} = 1500 \hat{i} - 500 \hat{i} = 1000 \hat{i}$

Q. A jet airplane travelling from east to west at a speed of 500kmh−1 ejected out gases of combustion at a speed of 1500kmh−1 with respect to the jet plane. What is the velocity of the gases with respect to an observer on the ground?

1000kmh−1 in the direction west to east

1000kmh−1 in the direction east to west

2000kmh−1 in the direction west to east

2000kmh−1 in the direction east to west