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Answer :
Final answer:
Using the kinematic equation with given values of final velocity and acceleration due to gravity, it is determined that the hammer was dropped from a height of 1 foot above the ground.
Explanation:
To determine how far above the ground the hammer was when you dropped it, given it hits the floor at a speed of 8 ft/s and the acceleration due to gravity is 32 ft/s2, we use the kinematic equation: v2 = u2 + 2as, where v is the final velocity (8 ft/s), u is the initial velocity (0 ft/s, since the hammer was dropped), a is the acceleration due to gravity (32 ft/s2), and s is the distance (height).
Plugging the values into the equation:
82 = 0 + 2(32)s
64 = 64s
s = 1 ft
Therefore, the hammer was dropped from a height of 1 foot above the ground.
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