---
title: "Seo-Jun throws a ball to her friend Zuri. The ball leaves Seo-Jun’s hand from a height \\( h = 1.5 \\) \\( \\text{m} \\) above the ground with an initial speed \\( \\vec{v}_{s,0} = 12 \\) \\( \\text{m/s} \\) at an angle of \\( \\theta = 25^\\circ \\) with respect to the horizontal. Zuri catches the ball at a height of \\( h = 1.5 \\) \\( \\text{m} \\) above the ground.  After catching the ball, Zuri throws it back to Seo-Jun. The ball leaves Zuri’s hand from a height \\( h = 1.5 \\) \\( \\text{m} \\) above the ground. The ball is moving with a speed of \\( 15 \\) \\( \\text{m/s} \\) when it reaches a maximum height of \\( 5.8 \\) \\( \\text{m} \\) above the ground.  At what height \\( h’ \\) above the ground will the ball be when the return throw reaches Seo-Jun?"
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url: "https://nerd-notes.com/ubq/81459/"
date_modified: "2025-08-22T10:06:17+00:00"
---

# Seo-Jun throws a ball to her friend Zuri. The ball leaves Seo-Jun’s hand from a height \( h = 1.5 \) \( \text{m} \) above the ground with an initial speed \( \vec{v}_{s,0} = 12 \) \( \text{m/s} \) at an angle of \( \theta = 25^\circ \) with respect to the horizontal. Zuri catches the ball at a height of \( h = 1.5 \) \( \text{m} \) above the ground.  After catching the ball, Zuri throws it back to Seo-Jun. The ball leaves Zuri’s hand from a height \( h = 1.5 \) \( \text{m} \) above the ground. The ball is moving with a speed of \( 15 \) \( \text{m/s} \) when it reaches a maximum height of \( 5.8 \) \( \text{m} \) above the ground.  At what height \( h’ \) above the ground will the ball be when the return throw reaches Seo-Jun?

Seo-Jun throws a ball to her friend Zuri. The ball leaves Seo-Jun’s hand from a height \( h = 1.5 \) \( \text{m} \) above the ground with an initial speed \( \vec{v}_{s,0} = 12 \) \( \text{m/s} \) at an angle of \( \theta = 25^\circ \) with respect to the horizontal. Zuri catches the ball at a height of \( h = 1.5 \) \( \text{m} \) above the ground.

After catching the ball, Zuri throws it back to Seo-Jun. The ball leaves Zuri’s hand from a height \( h = 1.5 \) \( \text{m} \) above the ground. The ball is moving with a speed of \( 15 \) \( \text{m/s} \) when it reaches a maximum height of \( 5.8 \) \( \text{m} \) above the ground.

At what height \( h’ \) above the ground will the ball be when the return throw reaches Seo-Jun?

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/81459/*