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The distance s that an object falls varies directly with the square of the time, t, of the fall. If an object falls 17 feet in onesecond, how long will it take for it to fall 118 feet?t=

The distance s that an object falls varies directly with the square of the time, t, of the fall. If an object falls 17 feet in onesecond, how long will it take class=

Answer :

Direct variation:

[tex]s=k\cdot t^n[/tex]

Procedure:

0. Finding the constant:

[tex]17=k\cdot(1)^2[/tex][tex]k=17[/tex]

2. Calculating the time for 118ft:

[tex]118=17t^2[/tex]

3. Isolating for t:

[tex]t=\sqrt[]{\frac{118}{17}}\approx\sqrt[]{6.63}[/tex]

Answer:

[tex]t\approx2.63[/tex]

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