Answer:
 14.6m/s
Step-by-step explanation:
Given parameters: 
Mass of the student = 62kg 
Initial velocity = 0m/s 
Height of slide = 10.6m 
g = 10m/s² 
Unknown: 
Speed at the bottom of the slide = ? 
Solution: 
The speed at the bottom of the slide is the final velocity; 
 v ² = u² + 2gh 
v is the final velocity 
u is the initial velocity 
g is the acceleration due to gravity 
h is the height
 v² = 0² + 2x 10 x 10.6
 v² = 212 
 v = 14.6m/s