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Q.

A ball is thrown at an angle 750 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
ABall strikes the wall directlypd = 8m
BBall strikes the ground at x = 12 m from the wallqd = 10m
CBall strikes the ground at x=10 m from the wall  rd = 15m
DBall strikes the ground at x=5 m from the wallsd = 25m

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a

A→pqr;B→r;C→p;D→rs

b

A→p;B→q;C→r;D→s

c

A→pqr;B→p;C→q;D→rs

d

A→p;B→q;C→rs;D→pqr

answer is C.

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Detailed Solution

Range of Ball in abseuce of the wall
             R =  u2sin2θg=(20)2sin15010=20m
              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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A ball is thrown at an angle 750 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 IIABall strikes the wall directlypd = 8mBBall strikes the ground at x = 12 m from the wallqd = 10mCBall strikes the ground at x=10 m from the wall  rd = 15mDBall strikes the ground at x=5 m from the wallsd = 25m