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A particle is projected from a horizonta...

A particle is projected from a horizontal floor with speed `10 m//s` at an angle `30^(@)` with the floor and striking the floor after sometime. State which is correct.

A

Velocity of particle will be perpendicular to initial direction two seconds after projection.

B

Minimum speed of particle will be `5m//sec`.

C

Displecement of particle after half second will be `35//4m`.

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
For `A`

Velocity of the particle will be particular to the initial direction when `10-gsin30^(@)t=0`
`:. T=2s`,
but total time of flight `=(2usin30^(@))/(g)=1s`.
So not possible
For `B`
Minimum speed during the motion is
`=u cos 30^(@)=10xx(sqrt(3))/(2)=5sqrt(3)m//s`
For `B`
`t=(1)/(2)` second
`:. `particle is at highest point.
Where, displacement `=sqrt((R^(2))/(4)+H^(2))=(5sqrt(3))/(4)m`
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