Questionb. Explain the meaning of the coordinates of the vertex for this model. Choose the correct explanation belo A. The ball reaches its maximum speed of 44.4 meters per second in 3 seconds. B. The ball reaches its maximum height of 49.6 meters in 2 seconds. C. The ball reaches its maximum height of 2 meters in 49.6 seconds. D. The ball hits the ground after 3 seconds at a speed of 44.4 meters per second.
Studdy Solution
STEP 1
1. The problem involves a quadratic model, likely representing the height of a ball over time.
2. The vertex of a parabola in this context represents the maximum or minimum point.
3. The coordinates of the vertex are given in the form , where is time and is height.
STEP 2
1. Understand the role of the vertex in a quadratic model.
2. Analyze each option to determine which one correctly describes the vertex.
3. Choose the correct explanation.
STEP 3
In a quadratic model representing the height of a ball, the vertex represents the maximum height the ball reaches and the time at which this occurs.
STEP 4
Option A describes maximum speed, which is not related to the vertex in a height-time model.
Option B describes the ball reaching its maximum height of 49.6 meters in 2 seconds, which aligns with the typical interpretation of a vertex in a height-time model.
Option C describes the ball reaching its maximum height of 2 meters in 49.6 seconds, which seems incorrect given the typical context.
Option D describes the ball hitting the ground, which is not related to the vertex.
STEP 5
Based on the analysis, the correct explanation is:
B. The ball reaches its maximum height of 49.6 meters in 2 seconds.
The correct explanation is:
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