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If it takes 28 seconds for a stone to hit the ground when dropped from rest from the top of a building, calculate the height of the building.

Select one:

A. 38.2 m
B. 360 m
C. 39.2 m
D. 40.0 m
E. 140 m

Answer :

Explanation:the answer is c 39.2m

The question said to calculate the height of the building but first we must find the velocity in which the stone end with after hit the ground

From eq........ 1

V=u+gt

Where v=final velocity

U=initial velocity

G=gravity

T=time

The question said the stone dropped from rest this mean initial velocity is zero

V=u+gt

V=0+10*28

V=280

So now we have final velocity we can find the height of building

From eq.......... 3

[tex]v {}^{2} = u {}^{2} + 2gh[/tex]

[tex]280 {}^{2} = 0 {}^{2} + 2 \times 10 \times h[/tex]

784=20h

[tex]h = \frac{784}{20} [/tex]

[tex]h = 39.2[/tex]

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Rewritten by : Jeany

Final answer:

The height of the building is approximately 3829.6 meters.

Explanation:

To calculate the height of the building, we can use the equation for free fall:

h = (1/2)gt^2

Given that the stone takes 28 seconds to hit the ground, we can substitute this value into the equation:

h = (1/2)(9.8 m/s^2)(28 s)^2

Simplifying the equation:

h = (1/2)(9.8 m/s^2)(784 s^2)

h = 3829.6 m

Therefore, the height of the building is approximately 3829.6 meters.

Learn more about calculating the height of a building using the time it takes for an object to fall here:

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