This question involves the concept of the conservation of energy.
(a) The child's speed halfway will be "12.13 m/s".
(b) The child's speed three-fourth way will be "14.86 m/s".
(a)
Using the <em>law of conservation of energy</em>:
Potential Energy Lost = Kinetic Energy Gained
where,
v = speed = ?
g = acceleration due to gravity = 9.81 m/s²
h = height lost = halfway = height/2 = 15 m/2 = 7.5 m
Therefore,
<u>v = 12.13 m/s</u>
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(b)
Using the <em>law of conservation of energy</em>:
Potential Energy Lost = Kinetic Energy Gained
where,
v = speed = ?
g = acceleration due to gravity = 9.81 m/s²
h = height lost = three-fourth way down = 
Therefore,
<u>v = 14.86 m/s</u>
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Learn more about the <em>law of conservation</em> of energy here:
brainly.com/question/20971995?referrer=searchResults
The attached picture shows the <em>law of conservation of energy</em>.
Final speed = initial speed + (acceleration x time)
(final speed - initial speed) = acceleration x time
Time = (final speed - initial speed) / acceleration
During the diving when a diver jumps off from platform he brings her knees and arms closer to the body
This is because when diver is in air he don't have any torque about his center of mass which shows that angular momentum of his body will remain constant during his motion in air
Now we can say product of his moment of inertia and his angular speed will remain constant always
So here if we decrease the moment of inertia of the body during our motion then angular speed will increase so that product will remain constant
and this is what the diver use during his diving
so correct answer will be
<u><em>It decreases her moment of inertia.</em></u>
Answer: 6.175 km
Explanation:
from the question, we have the following
velocity of the automobile = 95 km/g
velocity of the train = 75 km/h
length of the train = 1.30 km
since the automobile and the train are moving in the same direction, we need to find the velocity of the car relative to the train which will be their difference in speed = 95 - 75 = 20 km/h
we need to find the time it takes the automobile to overtake the train using the formula time = distance / speed , with the distance being the length of the train.
time (t) = 1.3 / 20
= 0.065 hour
now we can find the distance traveled by the automobile using the the time taken for it to overtake the train and the speed of the automobile.
therefore, distance = speed x time
distance = 95 x 0.065 =6.175 km
