A jet airplane traveling at the speed of 500 km h−1 ejects its products of combustion at the speed of 1500 km/h relative to the jet plane. What is the speed of the latter with respect to an observer on the ground ?

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1500 km/h

2000 km/h

1000 km/h

500km/h

answer is C.

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Detailed Solution

Concept: One needs to be familiar with relative motions in order to answer this question. Use the formula for relative motion between two bodies.
Let's first define what the phrase "relative motion" means. The motion of that body as perceived by the observer is the relative motion of that body with respect to another body (referred to as an observer) .
Question Image

Relative velocity
VA/B=vA−vB
given
VA/B=1500 Km/h
vA−vB= 1500
vA− ( −500) = 1500
because the plane's speed and the velocity of combustion products are opposing,
VA=1000 km/h
Hence, option 3 is the correct answer.

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