Exciting Physics Problem: Kicking a Soccer Ball Off a Building

How can we calculate the distance a soccer ball will travel when kicked off a 95m tall building with a horizontal velocity of 9m/s?

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?

Calculating the Distance the Soccer Ball will Travel

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

Let's break down the calculation to find out how we arrive at the final answer of the ball hitting the ground approximately 39.15 meters from the base of the building:

Step 1: Calculate the Time the Ball Takes to Reach the Ground

First, we need to find 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 (95m), 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)

Substituting the values, we get:

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

Step 2: Calculate the Horizontal Distance the Ball Travels

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

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, based on the calculations, the ball will hit the ground approximately 39.15 meters from the base of the building. Physics can be fun when you apply it to real-life scenarios like kicking a soccer ball off a building!