Since this is a distance/time graph, the speed at any time is the slope 
of the part of the graph that's directly over that time on the x-axis.
At time  t1 = 2.0 s
That's in the middle of the first segment of the graph, 
that extends from zero to 3 seconds.
Its slope is  7/3 .              v1 = 7/3 m/s .
At time  t2 = 4.0 s
That's in the middle of the horizontal part of the graph 
that runs from 3 to 6 seconds. 
Its slope is zero. 
                                     v2 = zero .
At time  t3 = 13 s.
That's in the middle of the part of the graph that's sloping down, 
between 11 and 16 seconds.
Its slope is  -3/5 .            v3 = -0.6 m/s .               
        
                    
             
        
        
        
Answer:
 the angular velocity of the carousel after the child has started running = 

Explanation:
Given that
the mass of the child = m
The radius of the disc = R
moment of inertia I = 
change in time = 
By using the torque around the inertia ; we have:
T = I×∝
where
R×F = I × ∝
R×F = 
∝
F = 
∝
∝ = 
           ( expression for angular  angular acceleration)
The first equation of motion of rotating wheel can be expressed as :

where ; 
∝ = 
    
Then;


  
∴ the angular velocity of the carousel after the child has started running = 

 
        
             
        
        
        
Answer:
a) 

b) 
m = 48lb
c) 
b = 144.76lb
Explanation:
The general equation of a damping oscillate motion is given by:
    (1)
uo: initial position 
m: mass of the block
b: damping coefficient
w: angular frequency
α: initial phase
a. With the information given in the statement you replace the values of the parameters in (1). But first, you calculate the constant b by using the information about the viscous resistance force:

Then, you obtain by replacing in (1):
6in = 0.499 ft

b. 
mass, m = 48lb
c. 
b = 144.76 lb/s
 
 
        
             
        
        
        
Answer:
The ending pressure is R. 
Explanation:
This is Recreational scuba diving (R). According to standards, this diving has prescribed depth limit of 130 ft. This means that the limit must include a depth that is not greater than 130 ft while using only compressed air and not even requiring a decompression stop.
Now, from the question, we can see that that there was a prescribed limit of 60ft of water with a planned bottom time of 30 minutes.
Thus, the ending pressure is R.