The maximum height a projectile will reach.

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  We have, then, that our equation of height above ground as a function of time t is h(t) = -16t2 + 340t What is the ordered pair which constitutes the vertex of our parabolic equation h(t)? How high will our projectile ascend?

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  Or, E_initial = E_final If we assume that the body is getting projected vertically from the ground level, then E_initial = KE = (1/2) m V^2 Now, imagine the flight, the body will reach a maximum height "H" and will fall back.

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  When the rocket reached its maximum height, the velocity in the vertical direction is 0, so the time needed to reach the maximum height is It is greater than the time needed to reach the wall. So the rocket is still in the upward direction.

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  At what distance from our firing point does our projectile reach maximum height? What are the ordered pairs corresponding to the zeros of the above equation h(x)? How far does our projectile travel?