I have a math homework problem. It is as follows:
A rock is thrown into the air from a hole in the ground. The solution for the time it takes the rock to reach a certain distance is (y= -x^2+10x-16). X is the time and y stands for how high above the ground level the rock is. The questions I have to answer are as follows:
A) What is the rock's maximum height?
B ) How much time it took for the rock to reach it's maximum height?
C) How long does it take for it to hit the ground after it was thrown up?
D) How far down was the rock initially thrown from?
This is what I know so far:
The image is of a parabola, that looks like an upside down U. In order to find the turning point, you would use the formula x= -b/2a. That would give you the maximum time is took the rock to reach its peak height. If you were to substitute that number into the equation (y= -x^2+10x-16), that would give you the time it took to reach its maximum height. From there, you would substitute different numbers for X to get different numbers for Y. Can anyone guide me?? I also believe that the X part of the turning point is 5. Am i right???
This is one for Lamsey
Thanks for any help you guys might provide.