Some examples of stable system are:
1) functions of sine
2) DC
3) signum
4) unit step
5) cosine.
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Answer:
The velocity of the hay bale is - 0.5 ft/s and the acceleration is 
Solution:
As per the question:
Constant velocity of the horse in the horizontal, 
Distance of the horse on the horizontal axis, x = 10 ft
Vertical distance, y = 20 ft
Now,
Apply Pythagoras theorem to find the length:


Now,
(1)
Differentiating equation (1) w.r.t 't':


where
= Rate of change of displacement along the horizontal
= Rate of change of displacement along the vertical
= velocity along the x-axis.
= velocity along the y-axis



Acceleration of the hay bale is given by the kinematic equation:





Answer:
Mass of second object will be 15 kg
Explanation:
We have given mass of first object = 12 kg
Acceleration 
According to second law of motion we know that force F = MA
So force 
As the same force is applied to the second object of acceleration 
So force = ma

m = 15 kg
So mass of second object will be 15 kg
No.
The acceleration of gravity on or near Earth's surface is 9.8 m/s² ,
not 20 m/s² .
If it were 20 m/s², then you would weigh almost exactly double
what you really weigh now.