Ball Mass (g) Time (s)
1 55 2.1
2 45 1.6
3 63 2.3
4 35 1.2
A student has a toy gun that shoots balls with the same amount of force every time. The student loaded the gun with five balls that had different masses but that were the same size and shape. He shot the gun four times and measured how long it took each ball to travel 3 meters, and his results are shown in the table above. The fifth ball in the gun has a mass of 75 grams. Based on the trend in the table, which of the following should the student predict will happen when he shoots the fifth ball?
A.
It will take the ball less than 2.3 seconds to travel 3 meters.
B.
It will take the ball exactly 1.2 seconds to travel 3 meters.
C.
It will take the ball less than 1.2 seconds to travel 3 meters.
D.
It will take the ball more than 2.3 seconds to travel 3 meters.
D. It will take the ball more than 2.3 seconds to travel 3 meters.
To answer this question, let's analyze the trend in the table. We can see that as the mass of the balls increases, the time it takes for them to travel 3 meters also increases. This implies that as the mass of the ball increases, the time it takes to travel a given distance also increases.
Based on this trend, we can predict that the ball with a mass of 75 grams (the fifth ball) will take more time to travel 3 meters compared to the other balls. Therefore, the correct answer is:
D. It will take the ball more than 2.3 seconds to travel 3 meters.
To predict what will happen when the student shoots the fifth ball, we need to analyze the trend in the table. We can do this by comparing the mass of the balls with the time it took for each ball to travel 3 meters.
Looking at the table, we can observe that as the mass of the balls increases, the time it takes for them to travel 3 meters also increases. The trend is that as the mass increases, the time increases.
Given that the fifth ball has a mass of 75 grams, which is greater than the masses of the previously shot balls, we can predict that it will take the fifth ball more time to travel 3 meters compared to the previous balls. Therefore, the correct answer is:
D. It will take the ball more than 2.3 seconds to travel 3 meters.