For this analysis,
g = 9.8 m/s²
Wind resistance is ignored.
All quantities are measured positive upward.
h = 1.32 m, the vertical height
Let u = vertical launch velocity of the basketball player.
At the maximum height of 1.32 m, the vertical velocity is zero.
Therefore
u² - 2gh = 0
u² = 2gh = 2*9.8*1.32 = 25.872
u = 5.0865 m/s
Answer: 5.1 m/s (nearest tenth)