Answer: C
Explanation:
Find the acceleration using this kinematic equation:

Now use this kinematic equation to find the displacement:

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(Option D.)
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Answer:
7.5secs
Explanation:
Using the equation of motion
v = u + at
v is the final velocity = 0m/s
u is the initial velocity = 9m/s
a is the deceleration = -1.2m/s²
t is the required time
Substitute;
0 = 9 + 1.2(t)
-9 = -1.2t
t = -9/-1.2
t = 7.5secs
hence it takes the child 7.5secs to stop
At the top of the height, the velocity is zero and acceleration is negative of acceleration due to gravity ( i.e
).
The time of the ball in air is 3.2 s, so ascending time is
.
Therefore from kinematic equation,

Substituting the values we get,
, Here v = 0 at top.
Now from equation,
, here h is the height .
So,
.
Thus, the ball reached at its maximum height of 12.48 m.
Answer:
Work done on the two cart system is 2 N-m
Explanation:
Work done is equal to the product of force and displacement
Work done =4N * (0.17 +0.33)
work done = 4N * 0.5
Work done = 2 N -m
Work done on the two cart system is 2 N-m