A man standing at a window 5 meters tall watches a falling ball pass by the window in 0.3 seconds. From how high above the top o

Question

2 months ago

10

f the window was the ball released?

1 answer:

babunello [11.8K] · Answer 1 · 2026-02-28T12:30:57+03:00

Answer:

The height is 11.76 meters.

Step-by-step explanation:

To solve this problem, the following equations are necessary:

The first one relates initial and final velocities, taking into account that gravity is 9.81 m/s² and the time is 0.3 seconds:

Vf = Vo + g * t = Vo + 9.81 * 0.3

Vf = Vo + 2.94 (1)

The second one also connects initial and final velocities, but this time with distance S, which we know to be 5 meters:

Vf² = Vo² + 2 * g * S

Vf² = Vo² + 2 * 9.81 * 5

Vf² = Vo² + 98.1 (2)

We now have two equations with two unknowns. By substituting (1) into (2):

(Vo + 2.943)² = Vo² + 98.1

Vo² + 5.886 * Vo + 8.66 = Vo² + 98.1

Canceling Vo² and rearranging gives us:

Vo = 89.44 / 5.886

Vo = 15.195 m/s

Now using the formula:

Vo² = 2 * g * h

h = Vo² / (2 * g) = (15.195²) / (2 * 9.81) = 11.76 meters

So, the height corresponds to 11.76 meters.