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a projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 640t. after how many seconds does the projectile take to reach its maximum height? show your work for full credit.

The projectile reaches its maximum height after 20 seconds.

Step-by-step explanation:

Given the function:

You can following formula (which gives the x -coordinate of the vertex of the parabola) in order to find after how many seconds the projectile takes to reach its maximum height:

In this case you can identify that the values of "a" and "b" are:

Then, substituting values into the formula, you get the following result:

Therefore,based on this, the conclusion is: The projectile reaches its maximum height after 20 seconds.

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

2x^2+5x+17

your welcome. : )