Question

10 using a formula from physics, a sky diver knows that she can free fall for √875 s before opening her parachute. a) about how many seconds (to the nearest 0.01 s) can she free fall? b) for her next jump, she can free fall for 29.55 s. does she have more time on her first or second jump? explain using a number line.

Explanation:

Step1: Calculate square - root value

We need to find the value of $\sqrt{875}$. Using a calculator, $\sqrt{875}\approx29.58$.

Step2: Compare the times

For the first jump, the free - fall time is approximately $29.58$ s. For the second jump, the free - fall time is $29.55$ s.
On a number line, we mark $29.55$ and $29.58$. Since $29.58>29.55$, the first jump has more free - fall time.

Answer:

a) $29.58$ s
b) She has more time on her first jump. On a number line, $29.58$ (first - jump time) is to the right of $29.55$ (second - jump time), indicating that $29.58>29.55$.