To find the time it takes to reach the highest point, we need to first find the vertex of the parabolic equation representing the height of the projectile.
The vertex of the parabolic equation h(t) = -16t^2 + 64t + 96 is given by the formula t = -b/(2a), where a = -16 and b = 64.
Plugging in a = -16 and b = 64 into the formula, we get:
t = -64 / (2*(-16))
t = -64 / (-32)
t = 2
So, the time it takes to reach the highest point is 2 seconds.
a projective is launched vertically upwards with an initial velocity of 64 ft/s from a height of 96 feet. If height after t seconds is represented by h(t) = -16t^2 + 64t + 96, find the time it takes to reach the highest point
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