---
title: "A soccer ball with an initial height of 1.5 meter above the ground is launched at an angle of 30° above the horizontal. The cannonball travels a horizontal distance of 45 meters to a 9.0 meter high castle wall, and passes over 3.20 meters above the highest point of the wall. Assume air resistance is negligible."
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url: "https://nerd-notes.com/ubq/23963/"
date_modified: "2025-09-30T03:19:50+00:00"
---

# A soccer ball with an initial height of 1.5 meter above the ground is launched at an angle of 30° above the horizontal. The cannonball travels a horizontal distance of 45 meters to a 9.0 meter high castle wall, and passes over 3.20 meters above the highest point of the wall. Assume air resistance is negligible.

A soccer ball with an initial height of \(1.5 \, \text{m}\) above the ground is launched at an angle of \(30^\circ\) above the horizontal. The soccer ball travels a horizontal distance of \(45 \, \text{m}\) to a \(9.0 \, \text{m}\) high castle wall, and passes over \(3.20 \, \text{m}\) above the highest point of the wall. Assume air resistance is negligible.

**Part a)** Calculate the time taken for the ball to reach the wall.   *(3 points)*

**Part b)** Calculate the initial speed of the soccer ball. *(3 points)*

**Part c)** Find the velocity of the soccer ball as it passes over the wall. *(3 points)*

**Part d)** If the same soccer ball is fired with the same initial speed at an angle of \(55.5^\circ\) above the horizontal, determine whether or not the ball will still clear the \(9.0 \, \text{m}\) high castle wall. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/23963/*