Respuesta :

sid071

Answer:

After how many seconds does it explode? 4 sec

At what height does it explode? 256ft

Step-by-step 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

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