The function H(t)=−5t2+160t\displaystyle {H}{\left({t}\right)}=-{5}{t}^{{2}}+{160}{t} gives the height (in feet) of a golf ball after t\displaystyle {t} seconds. Use H(t)\displaystyle {H}{\left({t}\right)} to answere the questions below. Round answers to two decimal places as needed. Verify your answer by graphing.
Use factoring to determine when H(t)>0\displaystyle {H}{\left({t}\right)}>{0}. Write your answer in interval notation and explain your answer by completing the sentence below.

Factored form: >0\displaystyle >{0}  

H(t)>0\displaystyle {H}{\left({t}\right)}>{0} over the interval

The height of the ball is greater than 0 from to seconds

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