Question

Given the function h(t)=184−16(t−0.07)2

Which formulas give t in terms of h? Select all that apply.

Answer 1

Options A, B and E

Explanation:

Given function is,

h(t) = 184 - 16(t -0.07)²

Rewrite the function in the equation form,

h = 184 - 16(t - 0.07)²

By subtracting 184 from both the sides,

h - 184 = -16(t - 0.07)²

By dividing both the sides of the equation by (-16),

`(h-184)/(-16)=(-16(t-0.07)^2)/((-16))`

`(h-184)/(-16)=(t-0.07)^2`

`t-0.07=\sqrt{(h-184)/(-16)}` [Option A]

t =
`\sqrt{11.5-(h)/(16)}+0.07` [Option B]

`t=\sqrt{(h-184)/(-16)}+0.07`

t =
`\sqrt{-(1)/(16)(h-184)}+0.07` [Option E]

Therefore, Options A, B and E are the correct options.