Kinematics help - object is dropped from a height h

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An object dropped from a height h strikes the ground with a velocity v, and when dropped from a height of 2h, its velocity is questioned. The correct answer is determined to be 1.4v, contrary to the initial assumption of 2v. The relevant kinematic equation provided is v² = v₀² - 2gΔy, which helps in calculating the final velocity based on the height. Understanding the relationship between height and velocity under gravity is crucial for solving such problems. The discussion emphasizes the importance of applying the correct kinematic equations to derive the right answer.
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Kinematics help -- object is dropped from a height h

Homework Statement


An object is dropped from a height h and strikes the ground with a velocity v. If the object is dropped from a height of 2h, which of the following represents its velocity when it strikes the ground?

A) v

B) 1.4v

C) 2v

D)4v

Homework Equations



Not sure.



The Attempt at a Solution



I thought that velocity in this situation would be represented as 2v, but the answer in my book says the correct answer is B. I wasn't quite sure how to figure that out or what the relevant equation for figuring this problem out might be.
 
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Try this equation:
$$v^{2} = v_{0}^{2} - 2g\Delta y$$
 
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