Final answer:
The baseball will hit the ground in approximately 3.79 seconds.
Step-by-step explanation:
To find when the baseball will hit the ground, we need to determine when the height of the ball is equal to 0. We have the equation h(t) = -16t² + 5t + 5, where t is in seconds. To solve, we set h(t) = 0:
-16t² + 5t + 5 = 0
Using the quadratic formula, we find two solutions: t = 0.54 s and t = 3.79 s. Since the ball is thrown upward at time t = 0, we take the longer solution as the time it takes for the ball to hit the ground, which is t = 3.79 seconds.