Answer:
After how many seconds does it explode? 4 sec
At what height does it explode? 256ft
Explanation:
The question simply asks us to find the vertex of the parabola mentioned.
Given equation : h = -16t² + 128t
Lets break this down. The equation is in its standard form : ax² + bx + c
Hence,
a = -16
b = 128
c = 0
Find the vertex when a standard form is given:
( -b/2a , f(-b/2a) )
(-128/-32, f( -128/-32 ))
(4,f( 4 ))
f(4) = -16(4)² + 128(4)
f(4) = -256 + 512
f(4) = 256
Vertex = (4,256)
After how many seconds does it explode? 4 sec
At what height does it explode? 256ft