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To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. How high is the building if the splash is seen 6.3 seconds after the stone is dropped?
Use the position function for free-falling objects given below.
(Round your answer to one decimal place.)
s=-4.9t^2 +vot +so

Respuesta :

Answer:

194.5.

Step-by-step explanation:

s=-4.9t^2 +vot +so

The displacement is

-4.9(6.3)^2 + 0t + 0

= -194.5 m

So the height is 194.5 m.

Lanuel

The estimated height of the building is 194.5 meters.

Given the following data;

  • Time, t = 6.3 seconds

To find how high is the building, we would use the position function for free-falling objects given below;

[tex]S = -4.9t^2 + V_ot + S_o[/tex]

Next, we would substitute the given values into the above formula;

[tex]S = -4.9(6.3)^2 + 0(6.3) + 0\\\\S = -4.9(39.69) + 0 + 0[/tex]

S = [tex]4.9[/tex] × [tex]39.69[/tex]

S = 194.481

Rounding up to one decimal place, we have;

S = 194.5 meters

Therefore, the estimated height of the building is 194.5 meters.

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