Final answer:
The time it takes for the ball to hit the floor is 0.97 seconds.
Step-by-step explanation:
To find the time it takes for the ball to hit the floor, we can use the equation for horizontal motion:
distance = velocity x time
In this case, the distance is 2.9 m and the initial velocity is 3 m/s.
Rearranging the equation, we have:
time = distance / velocity
Plugging in the given values, we get:
time = 2.9 m / 3 m/s
time = 0.97 seconds
Therefore, the answer is 0.97 seconds (option a).