High School

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Mrs. Vincent's science class launched a toy rocket from ground level with an initial upward velocity of 60 feet per second. The height \( h \) of the rocket in feet above the ground after \( t \) seconds is modeled by the equation:

\[ h = 60t - 16t^2 \]

How long was the rocket in the air before it returned to the ground?

Answer :

Answer:

3.75 seconds

Step-by-step explanation:

To find the time it hit the ground, we must find the roots of the equation.

Factoring:

Take out the common factor of -4

[tex]-4(4t-15)=h[/tex]

Find the root with the zero product property.

[tex]4t=15\\t=3.75[/tex]

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