Elana has a part-time job as a stunt woman and for a movie and is asked to run off the top of a 25.0
mbuilding and land in a swimming pool below. She inspects the situation and finds the safest land
zonein the pool is 14.3 m in front of the side of the building. What horizontal speed must she be
running at when she leaves the building if she is to safely land in the pool? Please show ALL steps, units, significant figures, diagrams, and therefore statements.

Respuesta :

To determine the horizontal speed required for Elana to safely land in the pool, follow these steps:

1. Calculate the time of flight (t) using the equation for vertical motion:

- h = (1/2)gt^2

Given that h = 25.0 m and g = 9.8 m/s^2:

- t = sqrt((2 * 25.0 m) / (9.8 m/s^2))

- t ≈ 2.26 s

2. Use the time of flight to find the horizontal speed (vx) needed for Elana to travel 14.3 m:

- d = vx * t

Given that d = 14.3 m:

- vx = 14.3 m / 2.26 s

- vx ≈ 6.34 m/s

Therefore, Elana must be running at a horizontal speed of approximately 6.34 m/s when she leaves the building to safely land in the pool.