Answer:
Explanation:
The area of a circle is given b
A=πr²
Then,
dA/dr= 2πr
Also give that,
dr/dt=30m/hr, r=100m
We want to find dA/dt
dA/dt=dA/dr×dr/dt
dA/dt= 2πr × 30
dA/dt= 2 ×π ×100×30
dA/dt=18849.56m²/s.
The rate of the area is 18849.56m²/s
To solve the problem, it is necessary to use the concepts of gravitational force, centripetal force and trigonometric components that can be extrapolated from the statement.
By definition we know that the Force of Gravity is given by

Where,
m= Mass
g = Gravitational Acceleration
The centripetal force is given by,

Where,
m = Mass
v = Velocity
R = Radius
For the case described in the problem, the Force of gravity the net component would be given by sin?, While for the centripetal force the net component is in the horizontal direction, therefore it corresponds to the 
Then,


From the radius we have its length but not the net height, which would be given by

So equating the equations we have to



Re-arrange to find v,

Replacing with our values


Therefore the tangential velocity of the mass is 0.624m/s
At the point where the ball stops it has speed of 0 m/s. When it continues to fall in every meter it gets 9.8 m/s so you just put this :
9.8 m/s2 x 2.5 m = 24.5 m/s
The answer is true and when they do hit you pull off to the side and call it in
c) debris collecting around pilings.
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Learn more about hazards here:
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