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Lelechka [254]
3 years ago
14

HELPPPPP!!!! ASAP

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer: The projectile reaches its maximum height after 20 seconds.

Step-by-step explanation:

Given the function:

h(t) = -16t^2 + 640t

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:

x=t=-\frac{b}{2a}

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

a=-16\\b=640

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

t=-\frac{640}{2(-16)}\\\\t=20

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

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