a ball is thrown into the air with an initial velocity of 80 ft/sec. the height of the ball after t seconds in the air is given by h(t) =-16t^2 + 80t + 96.how long will it take for the ball land on the ground? (when will the height equal 0? )

Step-by-step explanation:

We know that the equation that models the height of the ball as a function of time is .

Where the initial speed is 80 feet.

When the ball lands on the ground, its height will be .

So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

To solve this quadratic equation we use the quadratic formula.

For an equation of the form:

The quadratic formula is:

In this case

Then

We take the positive solution

step-by-step explanation:

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step-by-step explanation: