The function H(t) = -16t2 + vt + s shows the height H(t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second.
Part A: The projectile was launched from a height of 96 feet with an initial velocity of 80 feet per second. Create an equation to find the time taken by the projectile to fall on the ground.
Part B: What is the maximum height that the projectile will reach? Show your work.
Part C: Another object moves in the air along the path of g(t) = 31 + 32.2t where g(t) is the height, in fe

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