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Question
A jet airplane travelling from east to west at a speed of 500km h−1 eject 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 jet airplane travelling from east to west at a speed of 500km h−1 eject 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?
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Solution
The correct option is A 1000kmh−1 in the direction west to east.
Suppose we choose the positive direction to be from east to west. Then the velocity of the plane =+500kmh−1.
Since, the gases are ejected in the direction opposite to the direction of motion of the plane, the relative velocity of the gases with respect to the plane =−1500kmh−1.
Therefore the velocity of the gases with respect to an observer on the ground =−1500+500=−1000kmh−1
The negative sign indicates that the direction of the velocity is from west to east. Hence, the correct option is A.
Suppose we choose the positive direction to be from east to west. Then the velocity of the plane =+500kmh−1.
Since, the gases are ejected in the direction opposite to the direction of motion of the plane, the relative velocity of the gases with respect to the plane =−1500kmh−1.
Therefore the velocity of the gases with respect to an observer on the ground =−1500+500=−1000kmh−1
The negative sign indicates that the direction of the velocity is from west to east. Hence, the correct option is A.
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