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Two particles , one with constant veloci...

Two particles , one with constant velocity ` 50 m//s` and the other with unfiorm accelerraration ` 10 m//s^(-2)`. Start moving simultaneously from the same place in the same direction. They will be at a distantce of `12 5m` other after.

A

`5 sec`

B

`5(1+sqrt(2))sec.`

C

`10 sec.`

D

`10(sqrt(2)+1)sec.`

Text Solution

Verified by Experts

The correct Answer is:
A, B
`S_(1)=S_(2)=125m, if S_(2)gtS_(2)then`
`50t-(1)/(2)xx10t^(2)=125`
`10t-t^(2)=25`
`t^(2)-10t+25=0`
`t=5sec`.
`S_(2)-S_(1)=125mif S_(2)gtS_(2)then,`
` (1)/(2)xx10t^(2)-50t=125`
`t^(2)-10t-25=0`
`t=(10+sqrt(100+100))/(2)`
`t=5(1+sqrt(2))sec.`
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