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The benches of a gallery in a cricket st...

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 `53^0` 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?

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To solve the problem, we will follow these steps: ### Step 1: Understand the problem The batsman strikes the ball at a height of 1 meter above the ground with an initial speed of 35 m/s at an angle of 53 degrees. We need to determine which bench the ball will hit, given that the first bench is 110 meters away and each bench is 1 meter wide and 1 meter high. ### Step 2: Break down the initial velocity into components The initial velocity \( u \) can be broken down into horizontal and vertical components using trigonometric functions: - Horizontal component \( u_x = u \cdot \cos(\theta) \) ...
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