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Best quality answers of the home work in statistics

Content type
User Generated
Subject
Statistics
Type
Homework
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At a certain instant a ball is a distance
D above soft ground, and, at this instant, is
also moving directly downward at a speed
v0. When the ball strikes the ground, it
compresses the soil below it to a distance ∆y
and comes to rest.
If its acceleration while colliding with the
ground is constant, what is that acceleration
in terms of ∆y, v0, g, and D
By formula:
v
2
= u
2
+ 2 x a x s
where, v = Final velocity = ?
u = Initial velocity = v
0
a = Acceleration = g
s = Distance travelled = D
Now we calculate the final speed of ball when it reaches the ground.
v
2
= v
0
2
+ 2Dg
or,
 
Now let the acceleration while compression be ‘a’
where, v = Final velocity = 0
u = Initial velocity =
 
s = Distance travelled while compression = ∆y
Putting values:
0 = v
0
2
+ 2Dg + 2a(∆y)
Or,
a = -(v
0
2
+ 2Dg)/(∆y)

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At a certain instant a ball is a distance D above soft ground, and, at this instant, is also moving directly downward at a speed v0. When the ball strikes the ground, it compresses the soil below it to a distance ∆y and comes to rest. If its acceleration while colliding with the ground is const ...
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