Answer: The maximum height of the object when it is launched, is 64feet/second from the platform that is 80feet high, is 144 feet.
Step-by-step explanation: The max. height of the object is the same as it's partner, the y-coordinate of the vertex. In order to find that, we first have to find the X-Coordinate, which is T. We can find it by...
1. Identifying A,B,and C.
2. Multiply B by -1 or simplify and change its sign. Then divide it by 2A.
After this is all completed, plug in your equation in order to seek Y, your answer.
(AX+BX^2+C=-16T+64T+80)...In other words, A=-6, B=64 and C=80!
-64/2(-16)=-64/-32=2
-16(2)^2+64(2)+80=144 feet.
I hope this helps you!