Let velocity of object is u
we know, at 10m height object will be rest .
so, final velocity = 0
A/C to kinematics equations,
v² = u² + 2aS
0 = u² +2(-g) × 10
0 = u² - 2 × 100
u² = 200
u = 10√2 m/s
Time taken by the object to reach the highest point is t
heighest point here is 10m so the equation below is applicable
v = u + at
0 = 10√2 - 10t
t = 10√2/10 sec
t = √2 sec