Question

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

Answer 1

`H=210.25\ \text{units}`

Explanation:

Given that,

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

We need to find the maximum height

For maximum height, put dH/dt = 0

`(d(-16t^2 + 84t + 100))/(dt)=0\\\\-32t+84=0\\\\t=(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}`