Aprojectile 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?

20 seconds

Step-by-step explanation:

We just need the x-coordinate of the vertex...so find -b/(2a) and we are done:

-b/(2a)=-640/(2*-16)=-640/-32=20

20 second

Step-by-step explanation:

The standard form of a quadratic function is  

y = ax² + bx + c

Your function is

h(t) = -16t²+ 640t

a = -16; b = 640; c = 0

a is negative, so you have a downward-opening parabola.

The vertex form of a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

h = -b/(2a) and k = f(h)

Your parabola opens downward, so the vertex is a maximum.

Calculate h

The figure below shows the graph of h(t).

lr = 24

step-by-step explanation:

note that p is the midpoint of lr. to find the measurement of lr, set the equation:

lr = lp + pr

plug in the corresponding numbers to the corresponding variables:

lr = (15) + (9)

simplify:

lr = 24

24 is your measurement of lr.

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