Question
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
Answer
4.2
(203 Votes)
Sonny
Professional · Tutor for 6 years
Answer
### The acorn falls approximately 23.7 meters in 2.2 seconds.
Explanation
## Step1: Identify the function### The distance function is given by
.## Step2: Substitute the value of t### Substitute
seconds into the function
.## Step3: Perform the calculation### Calculate
.## Step4: Simplify the expression### Simplify
.## Step5: Final calculation### Calculate
to get the final answer.