Answer:
t = 2.61
Step-by-step explanation:
h (t) = (1/2) x (- 9.8) x t ^ 2 + 12 x t + 2
h (t) = -4.9 x t ^ 2 + 12 x t + 2 (rewritten)
When the ball hits the ground:
-4.9 x t ^ 2 + 12 x t + 2 = 0
Solved:
t1 = -0.16
t2 = 2.61
The negative is irrelevant here. Hence: 2.61.
