A cannon ball is fired from a cannon located on top of a 30.0 meter tall wall into the distance. The initial velocity of the cannonball coming out of the cannon is vo. The initial angle of launch of the cannon ball is 0. We want to determine how far from the base of the wall the cannonball will strike the ground (in the horizontal direction) if we are given the initial speed vo and angle 0. (A) Sketch a graph showing position of the cannonball during its flight (y versus x) showing and labeling the initial velocity vector. Identify and write knowns and unknowns (B) Without using numerical values, determine which physics equations of motion will help solve this problem. Simplify as useful for this particular case. (C) If the initial cannonball speed is 75.0 m/s and its initial angle is 0=32.0 degrees, how far horizontally from the base of the wall does the cannonball land?

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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**Projectile Motion and Calculations**

A cannonball is fired from a cannon located on top of a 30.0-meter tall wall into the distance. The initial velocity of the cannonball coming out of the cannon is \( \mathbf{v}_0 \). The initial angle of launch of the cannonball is \( \theta \).

We want to determine how far from the base of the wall the cannonball will strike the ground (in the horizontal direction) if we are given the initial speed \( v_0 \) and angle \( \theta \).

**(A)** Sketch a graph showing the position of the cannonball during its flight (y versus x), showing and labeling the initial velocity vector. Identify and write knowns and unknowns.

**(B)** Without using numerical values, determine which physics equations of motion will help solve this problem. Simplify them as useful for this particular case.

**(C)** If the initial cannonball speed is 75.0 m/s and its initial angle is \( \theta = 32.0 \) degrees, how far horizontally from the base of the wall does the cannonball land?
Transcribed Image Text:**Projectile Motion and Calculations** A cannonball is fired from a cannon located on top of a 30.0-meter tall wall into the distance. The initial velocity of the cannonball coming out of the cannon is \( \mathbf{v}_0 \). The initial angle of launch of the cannonball is \( \theta \). We want to determine how far from the base of the wall the cannonball will strike the ground (in the horizontal direction) if we are given the initial speed \( v_0 \) and angle \( \theta \). **(A)** Sketch a graph showing the position of the cannonball during its flight (y versus x), showing and labeling the initial velocity vector. Identify and write knowns and unknowns. **(B)** Without using numerical values, determine which physics equations of motion will help solve this problem. Simplify them as useful for this particular case. **(C)** If the initial cannonball speed is 75.0 m/s and its initial angle is \( \theta = 32.0 \) degrees, how far horizontally from the base of the wall does the cannonball land?
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