Question

the time in seconds that it takes an object to fall d feet can be found using the expression \\(\frac{\sqrt{d}}{4}\\). in an egg drop contest, clara successfully dropped her egg container from a height of 35 feet, while vladimir successfully dropped his egg container from a height of 23 feet. how much longer did it take clara’s egg to reach the floor than vladimir’s egg? round to the nearest tenth.
about __ second(s)

Explanation:

Step1: Calculate Clara's time

Clara's height \( d = 35 \) feet. Using the formula \( \frac{\sqrt{d}}{4} \), we substitute \( d = 35 \):
\( \frac{\sqrt{35}}{4} \approx \frac{5.916}{4} \approx 1.479 \) seconds.

Step2: Calculate Vladimir's time

Vladimir's height \( d = 23 \) feet. Substitute into the formula:
\( \frac{\sqrt{23}}{4} \approx \frac{4.796}{4} \approx 1.199 \) seconds.

Step3: Find the difference

Subtract Vladimir's time from Clara's time:
\( 1.479 - 1.199 = 0.28 \approx 0.3 \) (rounded to the nearest tenth).

Answer:

about \( \boldsymbol{0.3} \) second(s)