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find the speed of two objects such ...

find the speed of two objects such that when they move uniformly towards each other ,they get 4.0 meters closer each second and when they move uniformly in the same direactions with origiinal speeds they get 4.0 meters closer each 10 sec .

Text Solution

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Let their speeds be `v_(1)` and `v_(2)` and le t`v_(1) gt v_(2)`
In First Case:
In second case:
Relative velocity, `v_(1) -v_(2) =4/10 = 0.4`…….(2)
Solving eqns. (1) and (2), we get
`v_(1) =2.2 ms^(-1), v_(2) =1.8 ms^(-1)`
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