1) The time taken is 3.06 s
2) The distance between the two points is 119.4 m
Explanation:
1)
The motion of the object is a free fall motion, so it is a uniformly accelerated motion with constant acceleration
towards the ground. So, we can solve the problem by using the following suvat equation:

where
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time taken
In this problem we have
u = 54 m/s is the initial velocity (at point A)
v = 24 m/s is the final velocity (at point B)
is the acceleration (negative since it is downward)
Solving for t,

2)
For this part of the problem, we can use another suvat equation:

where
v is the final velocity
u is the initial velocity
a is the acceleration
s is the distance covered
In this problem we have
u = 54 m/s
v = 24 m/s

Solving for s, we find the distance between point A and point B, which is the distance covered by the object:

Learn more about accelerated motion:
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