# Consider the quadratic model s(t)=-4t^2+574for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air.a) Find the maximum height attained by the object. Use the vertex formula.b) How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.

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for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air.
a) Find the maximum height attained by the object. Use the vertex formula.
b) How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.

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Step 1

To analyze the motion of the object using the given formula connecting distance (height) and time (after projection)

Step 2

Note: there seems to be a typing mistake in the equation. we work with the model s(t)=-4t^2+574

Step 3

(a): The vertex is the average of the points where s(t)=0...

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### Algebra 