The function h(t) = -16t^2 + 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 82 feet with an initial velocity of 60 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.