Final answer:
To calculate the minimum velocity a basketball player must leave the ground with in order to rise 1.25 m above the floor, we can use the principles of projectile motion. The minimum velocity is 11.2 m/s.
Step-by-step explanation:
To calculate the minimum velocity a basketball player must leave the ground with in order to rise 1.25 m above the floor, we can use the principles of projectile motion. The vertical distance can be treated as the vertical displacement of a projectile, while the horizontal distance is not relevant in this case. We can use the equation:
vf^2 = vi^2 + 2ad
where vf is the final velocity, vi is the initial velocity, a is the acceleration (which is equal to -9.8 m/s^2 for upward motion), and d is the displacement (1.25 m in this case). By rearranging the equation and solving for vi, we find that the minimum velocity the basketball player must leave the ground with is 11.2 m/s (option a).