Question

path of cannon ball
height(feet)
time (seconds)
sven shoots a cannon ball out of a cannon and the path of the ball is modeled in the graph. how far off the ground is the barrel of the cannon?
a 0 feet
b about 1 foot
c about 2 feet
d about 5 feet

Explanation:

Step1: Analyze the graph's y-intercept

The y - axis represents the height of the cannonball (in feet) and the x - axis represents time (in seconds). The barrel of the cannon is at time \(x = 0\) (when the cannonball is shot). So we need to find the y - value when \(x=0\).
Looking at the graph, when \(x = 0\) (the y - intercept), the height (y - value) is about 2 feet? Wait, no, wait. Wait, the graph: at \(x = 0\), the line (the path of the cannonball) starts. Wait, no, the y - axis: the label is height (feet), x - axis is time (seconds). At \(x = 0\) (time = 0, when the cannonball is fired from the barrel), the height of the cannonball is the height of the barrel. Looking at the graph, when \(x = 0\), the y - coordinate (height) is about 2? Wait, no, the grid: let's check the y - axis. The y - axis has a mark at 2, and the line starts at \(x = 0\) with y - value around 2? Wait, no, the options: option C is about 2 feet. Wait, let's re - examine. The graph: the y - axis, the first mark above the x - axis (ground) is 2? Wait, no, the x - axis is the ground (height = 0). At \(x = 0\) (time = 0), the height of the cannonball (which is the height of the barrel) is the y - intercept. From the graph, when \(x = 0\), the y - value is about 2 feet. So the height of the barrel is about 2 feet.

Step2: Match with options

Option C is "about 2 feet", which matches our analysis.

Answer:

C. about 2 feet