1.

Find the speed of two objects if when they move uniformly towards each other, they get 4.0 metres closer each second and when they move uniformly in the samae direction with original speed, they get 4.0 metres closer each 10 sec.

Answer»

Solution :Let their speeds be `v_(1) and v_(2) and "let" v_(1)>v_(2)`.
In First Case:
Relative velocity, `v_(1)+v_(2)=4……….(1)`
In Second Case:
Relative velocity, `v_(1)-v_(2)= (4)/(10)=0.4……..(2)`
SOLVING eqns. (1) and (2), we GET
`v_(1)=2.2ms^(-1), v_(2)=1.8ms^(-1)`


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