A cannon ball is fired with an initial velocity vo at a wall that is 100. meters tall and located 450. meters away. The initial angle of launch of the cannon ball is 0. We want to determine if the cannon ball will clear the wall. If not how high-up will the ball strike the wall from the ground. (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 horizontal component of the balls velocity is 90.0 m/s and its initial angle is 0-24 degrees, does the cannonball clear the wall? If not, how high above the ground is the ball when it hits the wall?

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Chapter1: Units, Trigonometry. And Vectors
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A cannonball is fired with an initial velocity \( \vec{v}_0 \) at a wall that is 100 meters tall and located 450 meters away. The initial angle of launch of the cannonball is \( \theta \).

We want to determine if the cannonball will clear the wall. If not, how high up will the ball strike the wall from the ground.

(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 as useful for this particular case.

(C) If the initial **horizontal component** of the ball's velocity is 90.0 m/s and its initial angle is \( \theta = 24 \) degrees, does the cannonball clear the wall? If not, how high above the ground is the ball when it hits the wall?
Transcribed Image Text:A cannonball is fired with an initial velocity \( \vec{v}_0 \) at a wall that is 100 meters tall and located 450 meters away. The initial angle of launch of the cannonball is \( \theta \). We want to determine if the cannonball will clear the wall. If not, how high up will the ball strike the wall from the ground. (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 as useful for this particular case. (C) If the initial **horizontal component** of the ball's velocity is 90.0 m/s and its initial angle is \( \theta = 24 \) degrees, does the cannonball clear the wall? If not, how high above the ground is the ball when it hits the wall?
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