The benches of a gallery in a cricket stadium are 1 m wide and 1 m high. A batsman strikes the ball at a level one meter above the ground and hits a mammoth sixer. The ball starts at 35 m/s at an angle of 53o with the horizontal. The benches are perpendicular to the plane of motion and the first bench is 110 m from the batsman. On which bench will the ball hit?

Given:
Angle of projection of the ball,
Width and height of the bench = 1 m
Initial speed of the ball = 35 m/s
Distance of the first bench from the batsman = 110 m.
The batsman strikes the ball 1 m above the ground.


Let the ball land on the nth bench.
∴ --------- (i)


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And,


Now,



⇒


=


Solving the above equation, we get:

The ball will hit the sixth bench of the gallery.


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