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You are standing on a ladder, helping with some repairs at home. You drop a hammer and it hits the floor at a speed of 4 feet per second. If the acceleration due to gravity (g) is 32 feet/second^2 , how far above the ground (h) was the hammer when you dropped it? Use the formula


V= square root 2gh



A. 16.0 feet

B. 1.0 foot

C. 0.25 feet

D. 0.5 feet

You are standing on a ladder helping with some repairs at home You drop a hammer and it hits the floor at a speed of

Answer :

The distance above the ground (h) for the hammer when you dropped it will be;

⇒ h = 0.25 feet

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

You drop a hammer and it hits the floor at a speed of 4 feet per second.

And, The acceleration due to gravity (g) = 32 feet/second².

Now,

We know that;

The formula is,

⇒ V = √2gh

Substitute all the values, and calculate for h as;

⇒ 4 = √2 × 32 × h

Take squaring both side, we get;

⇒ 4² = ( √2×32×h )²

⇒ 16 = 64h

⇒ h = 16/64

⇒ h = 1/4

⇒ h = 0.25 feet

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Rewritten by : Barada

[tex]h=\dfrac{v^2}{2g}=\dfrac{4^2}{2\cdot 32}=\dfrac{16}{64}=\dfrac{1}{4}=0.25[/tex]
Answer: C 0.25 feet.