Q.

A particle is projected at an angle of 45° 2m from the foot of a wall, just touches the top of the wall and falls on the ground on the opposite side at a distance 4 m from it. The height of wall is :

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a

23m

b

43m

c

83m

d

34m

answer is C.

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Detailed Solution

Here, θ=45°and u2g=6 or u2 = 6g, also u cos θ t = 2 or t=2u cos θand y = height of wall, then y=u sin θ.  t+12gt2=usinθ×2ucosθ+12g×4u2cos2θ or y=83mHence (3) is the right choice.
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