Please answer steps clearly thank you **Problem 5: Horizontal Projectile Motion***A cannon fires a projectile perfectly horizontal with an initial speed of \( v_i = 40 \, \text{m/s} \). The cannon is at an initial height of \( H = 5 \, \text{m} \). At what horizontal distance \( R \) from the launch position will the projectile hit the ground? For simplicity use \( g = 10 \, \text{m/s}^2 \).*---**Solution**To solve this problem, use the following steps:1. **Calculate the time of flight:** Since the projectile is launched horizontally, the time \( t \) it takes to hit the ground depends only on the vertical motion. \[ H = \frac{1}{2}gt^2 \] \[ 5 = \frac{1}{2}(10)t^2 \] \[ 5 = 5t^2 \] \[ t^2 = 1 \quad \Rightarrow \quad t = 1 \, \text{second} \]2. **Calculate the horizontal distance \( R \):** The horizontal distance is calculated using the horizontal speed and the time of flight: \[ R = v_i \times t \] \[ R = 40 \, \text{m/s} \times 1 \, \text{s} \] \[ R = 40 \, \text{meters} \]Therefore, the projectile will hit the ground at a horizontal distance of 40 meters from the launch position.

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Description: Please answer steps clearly thank you **Problem 5: Horizontal Projectile Motion***A cannon fires a projectile perfectly horizontal with an initial speed of \( v_i = 40 \, \text{m/s} \). The cannon is at an initial height of \( H = 5 \, \text{m} \). A

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5. A cannon fires a projectile perfectly horizontal with initial speed of vi = 40m/s. The cannon Quinontol dictonce R from the launch position will the proiectile hit the ground? For sim

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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