A particle is projected at an angle of 45° from a point lying 2 m from the foot of a wall. It just touches the top of the wall and falls on the ground 4 m from it. The height of the wall is
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Question

A particle is projected at an angle of 45° from a point lying 2 m from the foot of a wall. It just touches the top of the wall and falls on the ground 4 m from it. The height of the wall is

G1 Physics · Accepted Answer

The projectile is launched at 45°, so its trajectory can be written y = x tan45°(1 - x/R) = x(1 - x/R), where R is the full range. The wall is 2 m from the launch point and the projectile lands 4 m beyond the wall, so R = 6 m. At x = 2 m, wall height y = 2(1 - 2/6) = 4/3 m. Hence option C.