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Range is the horizontal displacement of the particle on the ground. Displacement is the final position minus initial position. These are generally same but for a case like ball thrown from a height, these may differ.
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range of projectile is maximum distance it traveled in horizontal direction
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Both are same .
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Range of a projectile is equals to that the maximum displacement achieved by it.
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Range of a projectile is nothing but maximum horizontal displacement acquired by the projectile. Hence, the above both are one and the same.

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