xaguax9606 xaguax9606
  • 04-01-2021
  • Mathematics
contestada

H = -16t^2 + 84t + 100 what is maxium height

Respuesta :

Muscardinus Muscardinus
  • 04-01-2021

Answer:

[tex]H=210.25\ \text{units}[/tex]

Step-by-step explanation:

Given that,

[tex]H = -16t^2 + 84t + 100[/tex] ...(1)

We need to find the maximum height

For maximum height, put dH/dt = 0

[tex]\dfrac{d(-16t^2 + 84t + 100)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.625\ s[/tex]

Put t = 2.625 in equation (1)

[tex]H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}[/tex]

Hence, the maximum height [tex]=210.25\ \text{units}[/tex]

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