1.

A particle is projected with speed `10 m//s` at angle `60^(@)` with the horizontal. Then the time after which its speed becomes half of initial.A. `(1)/(2)sec`B. `1sec`C. `sqrt(3//2)sec`D. `sqrt(3//2)sec`

Answer» Correct Answer - D
`u cos60^(@)=5,V_(y)=usin 60^(@)-10t`
`V_(2)=(u sin 60^(@)-10t)_(2)+(u cos 60^(@))`
`(u^(2))/(4)=(u(sqrt(3))/(2)-10t)^(2)+(u^(2))/(4)`
`rArr 10t=(10 sqrt(3))/(2) rArr t=(sqrt(3))/(2)`.


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