The stone starts with a velocity of 84 feet per second. It leaves the sling 166 feet above the ground. How much time will it take to hit ground level?

Answer 1

0 = -16t^2 + 84t + 166

16t^2 -84t -166=0

4t^2 -21t -166/4 =0

t = 21/8 + (1/8)sqr(441+16(166)/4)

= 2.625 + (1/8)sqr(441+664)

= 2.625 + 4.155 = 6.78 seconds to hit ground