Question

I am so lost, please help

Answer 1

`u=(9)/(t)-(1)/(2) a t`

Explanation:

Step 1: Given equation:
`9=(1)/(2) a t^(2)+u t`

To get u, by subtraction equality property subtract both sides of the equation by
`(1)/(2) a t^(2)`.

`\Rightarrow 9-(1)/(2) a t^(2)=(1)/(2) a t^(2)+u t-(1)/(2) a t^(2)`

`\Rightarrow 9-(1)/(2) a t^(2)=u t`

Step 2: By division equality property, divide both sides of the equation by t.

`\Rightarrow (9-(1)/(2) a t^(2))/(t)=(u t)/(t)`

`$\Rightarrow (9)/(t)-(1)/(2) a t=u$`

Therefore,
`$u=(9)/(t)-(1)/(2) a t$`.

So, in Emily’s physics class, she got
`$u=(9)/(t)-(1)/(2) a t$`.