Answer:
0.0031792338 rad/s
Explanation:
 = Angle of elevation
 = Angle of elevation
y = Height of balloon
Using trigonometry

Differentiating with respect to t we get

Now, with the base at 200 ft and height at 2500 ft
The hypotenuse is 

Now y = 2500 ft


The angle is changing at 0.0031792338 rad/s
 
        
             
        
        
        
Answer:
The difference between frictionless ramp and a regular ramp is that on a frictionless ramp the ball cannot roll it can only slide, but on a regular ramp the ball can roll without slipping. 
We will use conversation of energy. 

Note that initial potential energy is zero because the ball is on the bottom, and the final kinetic energy is zero because the ball reaches its maximum vertical distance and stops. 
For the ball B;


The initial velocities of the balls are equal. Their maximum climbing point will be proportional to their final potential energy. Since their initial kinetic energies are equal, their final potential energies must be equal as well. 
Hence, both balls climb the same point. 
Explanation:
 
        
             
        
        
        
Answer:
The mass of an object is a measure of the object's inertial property, or the amount of matter it contains. The weight of an object is a measure of the force exerted on the object by gravity, or the force needed to support it. The pull of gravity on the earth gives an object a downward acceleration of about 9.8 m/s2.
 
        
             
        
        
        
When it crossed the sternum and is snug around the lap