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A ball bounces several times after it is dropped. The graph shows the height of the ball over time. Height is measured in meters and time is measured in seconds. Select all statements that are true about the graph and the situation it represents. A The vertical intercept shows the time when the ball hits the ground. B The vertical intercept shows when the ball is dropped. The function reaches its maxim

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A ball bounces several times after it is dropped. The graph shows the height of the ball over time.
Height is measured in meters and time is measured in seconds.
Select all statements that are true about the graph and the situation it represents.
A
The vertical intercept shows the time when the ball hits the ground.
B
The vertical intercept shows when the ball is dropped.
The function reaches its maxim

A ball bounces several times after it is dropped. The graph shows the height of the ball over time. Height is measured in meters and time is measured in seconds. Select all statements that are true about the graph and the situation it represents. A The vertical intercept shows the time when the ball hits the ground. B The vertical intercept shows when the ball is dropped. The function reaches its maxim

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RhianProfessional · Tutor for 6 years

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Let's analyze the given statements based on the picture details provided:A) The vertical intercept shows the time when the ball hits the ground.B) The vertical intercept shows when the ball is dropped.The vertical intercept of a graph is the point where the curve intersects the vertical axis (height axis in this case). According to the picture details, the curve passes through the point (0,2). This means that at time t = 0 seconds, the height h of the ball is 2 meters.Step 1: Understanding the vertical interceptThe vertical intercept in this context is the height of the ball at time t = 0 seconds. Step 2: Analyzing statement AStatement A suggests that the vertical intercept represents the time when the ball hits the ground. This is not correct because when the ball hits the ground, its height would be 0 meters. The vertical intercept here is 2 meters, which means the ball is not on the ground at t = 0 seconds.Step 3: Analyzing statement BStatement B suggests that the vertical intercept represents when the ball is dropped. This is correct because at time t = 0 seconds, the graph shows that the ball is at a height of 2 meters, which is the starting height from which the ball is dropped.Final Answer:Statement A is false.Statement B is true.
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