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Q.

AB is an inclined plane of inclination 30o with horizontal. Point O is 20 m above point A. A particle is projected horizontally from O leftwards, and it collides with the plane AB perpendicularly. Speed of the particle at the time of projection should be g=10m/s2

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a

13m/s

b

83m/s

c

45m/s

d

23m/s

answer is C.

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Detailed Solution

In x direction: vI=uI+aIt⇒ 0=ucos⁡30∘−gsin⁡30∘t⇒u3=gt   ……..(i) In y direction: sy=uyt+12ayt2⇒ 20cos⁡30∘=ucos⁡60∘t+12gcos⁡300t2⇒ 203=ut+12gt23⇒ 203=u23g+32g⋅3u2g2⇒20=5u22g⇒ u=80m/s=45m/s
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