IDNLearn.com makes it easy to get reliable answers from experts and enthusiasts alike. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

Which equation would best help solve the following problem? Hideki throws a baseball ball upward with an initial velocity of 12 m/s. When he throws the ball, it is 2 m above the ground. How long will it take the ball to hit the ground? - 16t2 + 12+ + 2 = 0 -4.91? + 12+ + 2 = 0 2 -4.912 + 12t = 2 0 4.912 + 12t +2 = 0​

Sagot :

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