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A boy aims a gun at a bird from a point,...

A boy aims a gun at a bird from a point, at a horizontal distance of `100m`. If the gun can impart a velocity of `500m//sec` to the bullet, at what height above the bird must he aim his gun in order to hit it?

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To solve the problem of how high above the bird the boy must aim his gun in order to hit it, we will follow these steps: ### Step 1: Understand the problem The boy is aiming at a bird that is 100 meters away horizontally. The bullet is fired with a velocity of 500 m/s horizontally. We need to find out how much the bullet will drop due to gravity while it travels this horizontal distance. ### Step 2: Calculate the time taken for the bullet to reach the bird The horizontal distance (d) to the bird is 100 meters, and the horizontal velocity (Ux) of the bullet is 500 m/s. The time (t) taken to travel this distance can be calculated using the formula: \[ ...
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