Question

Hideki throws a baseball ball upward with an initial velocity of 12 meters/sec. When he throws the ball, it is two meters above the ground. How long will it take the ball to hit the ground?

Answer 1

For this case we have the following kinematic equation that models the problem:
 h (t) = (1/2) * (- 9.8) * t ^ 2 + 12 * t + 2
 Rewriting we have:
 h (t) = -4.9 * t ^ 2 + 12 * t + 2
 When the ball hits the ground we have:
 -4.9 * t ^ 2 + 12 * t + 2 = 0
 Solving the polynomial we have:
 t1 = -0.16
 t2 = 2.61
 We ignore the negative root because it is time.
 Answer:
 It will take the ball to hit the ground about:
 t = 2.61 sec

Answer 2

The ball would take 1/6 of a second to hit the ground.