Question

Could someone help me with this?

Answer 1

Step-by-step 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

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

$- 35± \frac{ \sqrt{1225 + 2240} }{ - 32}$

$- 35± \frac{ \sqrt{3465} }{ - 32}$

${35} ± \frac{ \sqrt{3465} }{ - 32}$

The positve solution is

$4.83$

So the answer is 4.83 seconds