Answer:
31.86m
Step-by-step explanation:
recall that one of the equations of motion can be written
v² = u² + 2as
where
u = initial velocity = 25m/s
v = final velocity = 0m/s because at maximum height, the ball will momentary stop moving (i.e have zero velocity)
a = acceleration = -9.81m/s² (i.e a deceleration as it moves upwards equal to the magnitude of the gravitational acceleration)
s = distance (we are asked to find this)
substituting these into the equation:
v² = u² + 2as
0² = 25² + 2(-9.81)s
0 = 625 - 19.62s
19.62s = 625
s = 625 / 19.62
s = 31.86m