A jet airplane travelling at the speed of 500 km h^–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 latter with respect to an observer on the ground ?

Solution

Speed space of space jet space airplane comma space straight v subscript jet space equals space 500 space km divided by hr space relative space spedd space of space product space of space combustion space straight w. straight r. to space the space plane space is comma space straight v subscript smoke space equals space minus 1500 space km divided by hr space Speed space of space the space product space of space combustion space straight w. straight r. to space ground space equals space straight v apostrophe subscript smoke Relative space speed space of space space products space of space combustion space with space respect space to space the space airplane comma space space space space space straight v subscript smoke space equals space straight v prime subscript smoke space – space straight v subscript jet space end subscript space space space – space 1500 space equals space straight v prime subscript smoke space end subscript – space 500 space straight v prime subscript smoke space end subscript space space space space space space space space space space space space space space space space space equals space – space 1000 space km divided by straight h space

Negative sign implies that the direction of its products of combustion is opposite to the direction of motion of the jet airplane.

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