High School

You are helping with some repairs at home. You drop a hammer, and it hits the floor at a speed of 12 feet per second. If the acceleration due to gravity (g) is 32 feet/second², how far above the ground (h) was the hammer when you dropped it? Use the formula: [tex]v = \sqrt{2gh}[/tex].

A. 2.25 feet
B. 18.0 feet
C. 8.5 feet
D. 1.0 foot

Answer :

Answer:

h = 2.25 m

Step-by-step explanation:

Given:

Speed = v = 12 ft/sec

Acceleration due to gravity = g = 32 ft/sec²

Required:

Height = h = ?

Formula:

v = [tex]\sqrt{2gh}[/tex]

Solution:

For h, the formula will be:

=> h = [tex]\frac{v^2}{2g}[/tex]

=> h = [tex]\frac{(12)^2}{2(32)}[/tex]

=> h = [tex]\frac{144}{64}[/tex]

=> h = 2.25 m

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