Velocity Calculation for Thrown Ball

What is the speed of the ball when it leaves Sarah's hand?

Given that the ball leaves Sarah's hand at a distance of 1.5 meters above the ground, reaches a maximum height of 8 m above the ground, and takes 1.619 s to get directly over Julie's head. How can we calculate the speed of the ball when it leaves Sarah's hand?

Speed of the Ball When It Leaves Sarah's Hand:

After analyzing the vertical and horizontal components of the ball's motion, we can determine the speed of the ball when it leaves Sarah's hand. By considering the initial vertical velocity, horizontal distance, and time taken for the ball to reach certain positions, we can calculate the speed accurately.

Given the specific scenario of the ball thrown by Sarah, we need to break down the motion into vertical and horizontal components to find the speed at the moment it leaves her hand. The key parameters involved include the initial vertical velocity, the horizontal distance covered, and the time taken for specific movements of the ball.

First, we calculated the initial vertical velocity of the ball, which was found to be 7.93 m/s up. Moving on, we determined the initial horizontal velocity, which is approximately 1.853 m/s. By combining these two components using the Pythagorean theorem, we computed the speed of the ball when it leaves Sarah's hand to be approximately 8.2 m/s.

This comprehensive analysis not only provides the speed of the ball but also highlights the importance of considering both vertical and horizontal motions in solving such problems. Understanding the principles of velocity and motion allows us to accurately determine the various parameters involved in the trajectory of objects like the thrown ball in this scenario.