Isolating t in horizontal motion equation

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SUMMARY

The discussion focuses on isolating "t" in the horizontal motion equation, specifically using the formula d = ½at² to determine the time it takes for a flowerpot to fall from a height of 18 meters. The correct calculation involves substituting the values for distance (d) and acceleration (a), leading to the equation 36 = 9.8(t²). By dividing 36 by 9.8 and taking the square root, the final result is t = 1.91 seconds. This process illustrates the steps necessary to isolate "t" in kinematic equations.

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Isolating "t" in horizontal motion equation

Homework Statement


So this is just a practice question from my course and they gave me the answer, the problem I am having is understanding how they got to that answer. I have the formula and everything, just don't know how to isolate "t" and the steps to do so


-How long does it take for a flowerpot to fall from a balcony that is 18m above the ground?


Homework Equations



d=½a[itex]\nabla[/itex]t²

The Attempt at a Solution



18m [down] = ½(9.8m/s²)[itex]\nabla[/itex]t²
and I know I have to isolate the "t" but how do I go about doing that, I keep getting it wrong

The answer is 1.9s,
 
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Show us what you have done so far.
 


After posting this, I sat for another 2 hrs trying to figure out the problem and I finally understood it.

18m [down] = ½(9.8m/s²)∇t²
18(2)=9.8(t²)
36=9.8(t²)
36/9.8 = t²
3.67=t²
squareroot 3.67 = t
1.91=t
 

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