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A ball is thrown at an angle $75^{0}$ with the horizontal at a speed of 20 m/s towards a high wall at a distance d. If the ball strikes the wall, its horizontal velocity component reverses the direction without change in magnitude and the vertical velocity component remains same. Ball stops after hitting the ground. Match the statement of column I with the distance of the wall from the point of throw in column II.
Column I Column II
A Ball strikes the wall directly p d = 8m
B Ball strikes the ground at x = 12 m from the wall q d = 10m
C Ball strikes the ground at x=10 m from the wall r d = 15m
D Ball strikes the ground at x=5 m from the wall s d = 25m

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$A \to p q r; B \to r; C \to p; D \to r s$

$A \to p; B \to q; C \to r; D \to s$

$A \to p q r; B \to p; C \to q; D \to r s$

$A \to p; B \to q; C \to r s; D \to p q r$

answer is C.

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Detailed Solution

Range of Ball in abseuce of the wall
R = $\frac{u^{2} \sin 2 θ}{g} = \frac{{(20)}^{2} \sin 150}{10} = 20 m$
When d < 20m , ball will lit the wall
When d = 25, ball will fall 5m short of wall
d<20m; x=20-d (in front of the wall)

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