Question

solve. 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 two times

We have the first - jump free - fall time $t_1\approx29.58$s and the second - jump free - fall time $t_2 = 29.55$s. On a number line, numbers to the right are greater. Since $29.58>29.55$, $t_1$ is to the right of $t_2$ on the number line.

Answer:

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