Level: Algebra 2
Question: Imagine a Trial #4 which has an initial speed of 40 m/s. Estimate the maximum height and maximum range of the projectile. Explain your reasoning. Hint: Look for patterns of changes between trials 1, 2, and 3
I have been given this data table to help solve the question along with this simulation website (it does not let you model an Initial Speed of over 30 m/s, but after you input the starting height, angle, and initial speed, it does draw out the parabolas of Trial #1,2,3 and shows which points the parabolas pass through)
So far, I followed the hint and looked for patterns of changes between trials 1,2,3 and found that each trial has a "Range at the Maximum Height" x4 more than the last trial. Using this info, I multiplied 17.66 by 4 yielding 70.64 - so in other words, the x-value of the vertex for Trial #4 is 70.64 meters
This is where I'm stuck... how am I supposed to know the y value of the vertex AND find the roots with only this info? I have not been given any sort of quadratic function for this question.
Question: Imagine a Trial #4 which has an initial speed of 40 m/s. Estimate the maximum height and maximum range of the projectile. Explain your reasoning. Hint: Look for patterns of changes between trials 1, 2, and 3
I have been given this data table to help solve the question along with this simulation website (it does not let you model an Initial Speed of over 30 m/s, but after you input the starting height, angle, and initial speed, it does draw out the parabolas of Trial #1,2,3 and shows which points the parabolas pass through)
So far, I followed the hint and looked for patterns of changes between trials 1,2,3 and found that each trial has a "Range at the Maximum Height" x4 more than the last trial. Using this info, I multiplied 17.66 by 4 yielding 70.64 - so in other words, the x-value of the vertex for Trial #4 is 70.64 meters
This is where I'm stuck... how am I supposed to know the y value of the vertex AND find the roots with only this info? I have not been given any sort of quadratic function for this question.