SKY DIVING When a skydiver jumps from an airplane, the time t it takes to free fall a
given distance can be estimated by the formula t 2s
=
9.8'
where t is in seconds and s is
n meters. If Julie jumps from an airplane, how long will it take her to free fall 750
meters?
To find out how long it will take Julie to free fall 750 meters, we can use the given formula:
\[ t = \sqrt{\frac{2s}{9.8}} \]
Given that s = 750 meters, we substitute this value into the formula:
\[ t = \sqrt{\frac{2 \times 750}{9.8}} \]
\[ t = \sqrt{\frac{1500}{9.8}} \]
\[ t = \sqrt{153.06} \]
\[ t \approx 12.37 \, \text{seconds} \]
Therefore, it will take Julie approximately 12.37 seconds to free fall 750 meters.
