Question 1026903: a firework is launched from the top of a 216ft building with an initial upward velocity of 150 ft/sec
h(t)=-16t^2+vt+h
t=time, h is initial height, v is the initial velocity in feet per second
1.what is the equation for this situation
2.when will the firework land if it does not explode
3.show a table for this situation so that it shows the height from time t=0 until it hits the ground
4.calculate the axis of symmetry
5.calculate the coordinates of the vertex
6.explain why negative values of t and h(t) do not make sense for this problem
7. graph the situation
on #3 for the table, I do not know how to solve for the 0 or for 1,2,3,4,5 etc..... because it is after the = sign. So PLEASE show work. ALSO,how did you calculate the axis of symmetry and the coordinates of vertex? I have a TI-84 graphing calculator and can not get #7 to graph on it. And I do not know why? And in #1, it is supposed to be -16t^2 and I have asked this same question twice. Both times the same tutor used -15t^2. I do not know if this was used on the problems to get the answers for the symmetry and vertex. If so, then those are not right either....... That's why I resubmitted this question. Besides, I don't just need the answers..... I need to know how to do it so I can show my daughter and she can know for the test....... Thank You!
Found 2 solutions by sroberts978, MathTherapy:
Answer by sroberts978(2)   (Show Source):
You can put this solution on YOUR website! a firework is launched from the top of a 216ft building with an initial upward velocity of 150 ft/sec
h(t)=-16t^2+vt+h
t=time, h is initial height, v is the initial velocity in feet per second
1.what is the equation for this situation
2.when will the firework land if it does not explode
3.show a table for this situation so that it shows the height from time t=0 until it hits the ground
4.calculate the axis of symmetry
5.calculate the coordinates of the vertex
6.explain why negative values of t and h(t) do not make sense for this problem
7. graph the situation
on #3 for the table, I do not know how to solve for the 0 or for 1,2,3,4,5 etc..... because it is after the = sign. So PLEASE show work. ALSO,how did you calculate the axis of symmetry and the coordinates of vertex? I have a TI-84 graphing calculator and can not get #7 to graph on it. And I do not know why? And in #1, it is supposed to be -16t^2 and I have asked this same question twice. Both times the same tutor used -15t^2. I do not know if this was used on the problems to get the answers for the symmetry and vertex. If so, then those are not right either....... That's why I resubmitted this question. Besides, I don't just need the answers..... I need to know how to do it so I can show my daughter and she can know for the test....... Thank You!
Answer by MathTherapy(10552)  (Show Source):
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