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New Question) 1 ptsGroup of answer choicesA linear trendline would be a better fit for representing the relationship between time and height.At 10 seconds the height of the ball is about 710 meters above the ground.The height of the ball at 20 seconds will be negative thus we can assume it will be underground.Higher balls cause an increase in the time in seconds.

Question

New Question) 1 ptsGroup of answer choicesA linear trendline would be a better fit for representing the relationship between time and height.At 10 seconds the height of the ball is about 710 meters above the ground.The height of the ball at 20 seconds will be negative thus we can assume it will be underground.Higher balls cause an increase in the time in seconds.

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Solution

Sure, let's analyze each statement step by step:

  1. A linear trendline would be a better fit for representing the relationship between time and height.

    • To determine if a linear trendline is appropriate, we need to consider the nature of the relationship between time and height. If the height of the ball changes at a constant rate over time, a linear trendline would be suitable. However, in many cases involving the motion of a ball, the relationship is quadratic due to the influence of gravity. Therefore, a linear trendline might not be the best fit.
  2. At 10 seconds the height of the ball is about 710 meters above the ground.

    • This statement provides a specific data point. To verify its accuracy, we would need the equation or data representing the height of the ball over time. If we assume a quadratic relationship (e.g., h(t)=gt2+v0t+h0 h(t) = -gt^2 + v_0t + h_0 ), we can plug in t=10 t = 10 to check if the height is approximately 710 meters.
  3. The height of the ball at 20 seconds will be negative thus we can assume it will be underground.

    • If the height of the ball becomes negative, it implies that the ball has fallen below the ground level. This could happen if the ball is thrown upwards and then falls back down past the initial height. Again, we would need the specific equation or data to confirm this.
  4. Higher balls cause an increase in the time in seconds.

    • This statement suggests that the higher the ball is thrown, the longer it will take to reach the ground. This is generally true because a higher initial height or greater initial velocity will result in a longer flight time due to the increased distance the ball must travel.

In summary, without additional data or equations, we can make educated guesses about the statements, but precise verification would require more information.

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