How tall is the building the child is standing on?

Question:

How tall is the building that the child is standing on?

Answer:

The height of the building can be calculated using the concepts of kinematics. Let's break down the steps to find the height.

Explanation:

The scenario presented involves a child kicking a soccer ball from the roof of a building. To determine the height of the building, we need to focus on the vertical component of the ball's motion.

First, we need to calculate the time the ball is in the air. We can do this by utilizing the horizontal distance of 55 meters and the angle of 35° at which the ball was kicked. By finding the initial horizontal speed (V0x) using V0x = V0 * cos(35°), we can then determine the time 't' with the equation x = V0x * t.

Next, we can find the initial vertical velocity (V0y) by using V0y = V0 * sin(35°). With the acceleration due to gravity as -9.8 m/s^2, we can substitute 't', 'V0y', and 'g' into the equation y = V0y * t + 0.5 * g * t^2 to calculate the height of the building 'y'.

Following these calculations step by step will lead you to determine the height of the building that the child is standing on. Have fun exploring the world of kinematics!