Question

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

Answer 1

Answer:

$H=210.25\ \text{units}$

Step-by-step explanation:

Given that,

$H = -16t^2 + 84t + 100$ ...(1)

We need to find the maximum height

For maximum height, put dH/dt = 0

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

Put t = 2.625 in equation (1)

$H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}$

Hence, the maximum height $=210.25\ \text{units}$