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Q.

Two second after projection, a projectile is moving at 30 above the horizontal; after one more second it is moving horizontally. Then:

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a

Angle of projection is 30

b

Velocity at any time will be 40 m/s

c

Velocity of projection is 203m/s

d

Maximum horizontal range attained = 603 m

answer is B, D.

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Detailed Solution

           u cos θ = v cos 30° and     0 = u sin θ  g × 3,
         u sin θ = 30 m/s.
Also    0 = v sin 30°  g × 1,           v = 20 m/s.
Now    u cos θ = 20 cos 30° = 10 3   m/s.
∴         u = 302+1032=203 m/s.
           R = 2ucosθusinθg=2×103×3010

               = 603 m.

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