Question

A soccer ball is kicked horizontally at 9m/s from a 95m tall building. How far from the base of the building will the ball hit the ground?

Answer 1

The ball will hit the ground approximately 39.15 meters from the base of the building.

Step-by-step explanation:

First, let's calculate the time it takes for the ball to reach the ground. We can use the equation:

h = 0.5 * g * t^2

Where h is the height of the building, g is the acceleration due to gravity (9.8 m/s^2), and t is the time. Rearranging the equation gives us:

t = sqrt(2 * h / g)

t = sqrt(2 * 95 / 9.8) = 4.35 seconds

Now, we can calculate the horizontal distance the ball travels using:

d = v * t

Where d is the distance, v is the horizontal velocity (9 m/s), and t is the time (4.35 seconds). Substituting the values, we get:

d = 9 * 4.35 = 39.15 meters

So, the ball will hit the ground approximately 39.15 meters from the base of the building.