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4 May, 03:29

An Archer needs to hit a bull's-eye On Target at eye level of 60 feet away is the Archer fires the arrow from the eye level with a speed of 47 ft/s at an angle of 25 degrees above the horizontal, will the arrow hit the target

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  1. 4 May, 06:29
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    If the arrow covers a horizontal less than 60 feet, it will not hit the bull eye, but if it covers a horizontal distance of 60 feet it will hit the bull eye.

    For a Projectile, the Range, R = U²Sin (2θ) / g

    speed, U = 47 ft/s, g = 32.2 ft²/s, θ = 25°

    R = U²Sin (2θ) / g

    R = 47²Sin (2*25) / 32.2

    R = 2209Sin (50) / 32.2

    R = 52.55

    Hence range is 52.55 feet.

    Since the range is less than the required 60 feet of the bull's eye, hence it will not hit the bull eye.
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