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Explanation:
Let’s review the 4 basic kinematic equations of motion for constant acceleration (this is a lesson – suggest you commit these to memory):
s = ut + ½ at^2 …. (1)
v^2 = u^2 + 2as …. (2)
v = u + at …. (3)
s = (u + v)t/2 …. (4)
where s is distance, u is initial velocity, v is final velocity, a is acceleration and t is time.
In this case, we know u = 10m/s, v = 0 (at top), a = -g = -9.81m/s^2 and we want to find s. So, we use equation (2)
v^2 = u^2 + 2as
0 = 10^2 - 2(9.81)s
s = 100/19.62 = 5.1m
now to find t, we use equation (3)
v = u + at
0 = 10 – 9.81t
t = 10/9.81 = 1.02s
So, the ball reaches a height of 5.1m and it takes 1.02s to reach that height
#hope it helps :)