Question

Could someone help me with this?

Answer 1

Explanation:

Identity the variable:

Initial Velocity is 35.

Initial Height is 204

Final Height is 0.

What looking for the time.

So we have

`0 = - 16 {t}^(2) + (35)t + 204`

Use Quadratic Formula,

`- b± \frac{ \sqrt{b {}^(2) - 4ac} }{2a}`

A is -16, B is 35 , C is 204.

So we have

`- 35± \frac{ \sqrt{ {35}^(2) - 4( - 16)(204) } }{ - 32}`

`- 35± ( √(1225 + 2240) )/( - 32)`

`- 35± ( √(3465) )/( - 32)`

`{35} ± ( √(3465) )/( - 32)`

The positve solution is

`4.83`

So the answer is 4.83 seconds