Question

during the filming of an action movie, a stunt performer falls off the roof of a building from a height of 30 feet. she lands safely on a soft pad 6 feet above the ground. to the nearest tenth of a second, how long is the stunt performer in the air before landing on the pad? hint: use the formula h = -16t² + s.

Explanation:

Step1: Substitute values into formula

$6 = -16t^2 + 30$

Step2: Solve for $t^2$

$-16t^2 = 6 - 30 \Rightarrow -16t^2 = -24 \Rightarrow t^2 = \frac{24}{16} = 1.5$

Step3: Calculate t and round

$t = \sqrt{1.5} \approx 1.2247 \Rightarrow 1.2$

Answer:

1.2