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uestion 2-6 he function d(t)=(1)/(2)(9.8)t^2 can be used to estimate the distance that a dropped object falls in t seconds. The constant 9.8m/s^2 is the force of gravity. How far, to the nearest tenth f a meter, does an acom fall in 22 seconds? d(2.2)=square meters

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uestion 2-6 he function d(t)=(1)/(2)(9.8)t^2 can be used to estimate the distance that a dropped object falls in t seconds. The constant 9.8m/s^2 is the force of gravity. How far, to the nearest tenth f a meter, does an acom fall in 22 seconds? d(2.2)=square meters

uestion 2-6 he function d(t)=(1)/(2)(9.8)t^2 can be used to estimate the distance that a dropped object falls in t seconds. The constant 9.8m/s^2 is the force of gravity. How far, to the nearest tenth f a meter, does an acom fall in 22 seconds? d(2.2)=square meters

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SonnyProfessional · Tutor for 6 years

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### The acorn falls approximately 23.7 meters in 2.2 seconds.

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## Step1: Identify the function<br />### The distance function is given by $d(t) = \frac{1}{2}(9.8)t^2$.<br />## Step2: Substitute the value of t<br />### Substitute $t = 2.2$ seconds into the function $d(t)$.<br />## Step3: Perform the calculation<br />### Calculate $d(2.2) = \frac{1}{2}(9.8)(2.2)^2$.<br />## Step4: Simplify the expression<br />### Simplify $\frac{1}{2}(9.8)(2.2)^2 = 4.9 \times 4.84$.<br />## Step5: Final calculation<br />### Calculate $4.9 \times 4.84$ to get the final answer.
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