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9 May, 20:54

The equation Y = - 16t2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round your answer to the neares hundreth.

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  1. 9 May, 23:47
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    y = - 16t^2 + 120

    Let y = 0

    Solve for t.

    0 = - 16t^2 + 120

    -120 = - 16t^2

    -120/-16 = t^2

    7.5 = t^2

    sqrt{7.5} = sqrt{t^2}

    2.7386127875 = t

    We now round to the nearest hundredths, which means to 2 decimal places.

    Answer: t = 2.74 seconds
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