Answered: 5. A ball is thrown horizontally by a…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 58PQ: Peter throws a baseball through a houses window. He stands 3.4 m from the window. The ball starts in...

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5. A ball is thrown horizontally by a pitcher from a height of 1 m and lands 18.4 m away on the ground behind home plate. a). Draw a simplified sketch of only the ball, it's release height, trajectory, and landing point. b) What is the time of flight of the ball? c). What is the initial velocity of the ball? 7. A water park is designing a new water slide that finishes with the rider flying horizontally off the bottom of the slide. The slide is designed to end 1.2 m above the water level, and the average rider is estimated to leave the bottom of the slide at 25 m/s. a). Draw a sketch of the scenario showing the trajectory of the rider from the bottom of the slide to the water. b) Determine how far will the rider fly through the air (horizontally) before hitting the water?

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Introduction:

Since you have posted multiple questions, we will provide the solution only to the first question (no- 5) as per our Q&A guidelines. Please repost the remaining questions separately.

Projectile motion:

If a ball is thrown horizontally from a height then it follows a projectile motion and mathematically follows equations of motion:

1) $h = u t \pm \frac{1}{2} g t^{2}$ (in y direction)

2) Horizontal Distance travelled by a ball (X in m)= Initial velocity of ball in horizontal direction (u_xin m/s) $\times$ Time of flight (t in s).

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