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A bird is tossing (flying to and fro) be...

A bird is tossing (flying to and fro) between two cars moving towards each other on a straight road. One car has a speed of `18 km //h` while the other has the speed of ` 27 km //h`. The bird starts moving from first car towards the other and is moving with the speed of ` 36 km //h` and when the two cars were separated by ` 36 km`. What is the total distance covered by the bird ? What is the total displacement of the bird ?

Text Solution

Verified by Experts

Given, Speed of first car `= 18 km//h`
Speed of second car `= 27 km//h`
`:.` Relative speed of each car w.r.t each other
`= 18 + 27 = 45 km//h`
Distance between the cars `= 36 km`
`:.` time of meeting the cars`(t) = ("Distance between the cars")/("Relative speed of cars") = 36/45 = 4/5 h = 0.8 h`
Speed of th bird `(v_(b)) = 36 km//h`
`:.` Distance covered by the bird `= v_(b) xx t = 36 xx 0.8 = 28.8 km`
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