Stuntwoman Safety: Calculating the Required Running Speed

Question:

If a stuntwoman is to run horizontally off the roof of a three-story building and land on a foam pad 7.35 m away from the base of the building, how fast should she run as she leaves the roof?

Answer:

The stuntwoman should run at a speed of approximately 10.9 m/s as she leaves the roof.

As a movie stunt coordinator, ensuring the safety of stunts is paramount. In this scenario, we need to calculate the speed at which the stuntwoman should run to safely land on the foam pad. The distance of the pad from the building and the gravitational acceleration are key factors in this calculation.

To determine the required running speed, we can use the kinematic equation that relates distance, initial velocity, time, and acceleration. By rearranging the equation and calculating the time it takes to reach the landing point, we can then find the speed at which the stuntwoman should run.

The final answer indicates that the stuntwoman needs to run at approximately 10.9 m/s to ensure a safe landing on the foam pad. This calculation takes into account the horizontal distance and gravitational acceleration, providing a precise speed requirement for the stunt.