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use the above result to show that, when the bullet hits the ground on its return, the speed is equal to the expression

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Final answer:

The speed of the bullet when it hits the ground on its return is given by the expression v = √(2gh + v₀²), where g is the acceleration due to gravity, h is the height from which the bullet was fired, and v₀ is the initial velocity of the bullet.

Step-by-step explanation:

When the bullet hits the ground on its return, its speed is given by the expression:

v = √(2gh + v₀²)

where g is the acceleration due to gravity, h is the height from which the bullet was fired, and v₀ is the initial velocity of the bullet. This equation is a more general form of the kinematics equation v = √(v₀² + 2ad), which is valid only for constant acceleration.

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