Answer:
Please find the answer in the explanation 
Explanation:
1.) How far is Object Z from the origin at t = 3 seconds
The distance of the object Z from the origin will be the slope of the graph. 
Slope = 4/2 = 2m
2.) Which object takes the least time to reach a position 4 meters from the origin ?
According to the graph given to the question above, object Z has the list time which is 2 seconds since object X does not start from the origin. 
3.) Which object is farthest from the origin at t = 2 seconds?
The correct answer is still object Z because it has the highest slope. 
 
        
             
        
        
        
Sunspots are spot like structure on the surface of sun, they are created due to geomagnetic flux which inhibits the convection of heat waves thus reducing the temperature of spot with some factor
        
             
        
        
        
<h2>
Its velocity when it crosses the finish line is 117.65 m/s</h2>
Explanation:
We have equation of motion s = ut + 0.5 at²
         Initial velocity, u = 0 m/s
         Acceleration, a = ?
         Time, t = 6.8 s    
         Displacement, s = 1/4 mi =    400 meters
      Substituting
                       s = ut + 0.5 at²
                       400 = 0 x 6.8 + 0.5 x a x 6.8²
                       a = 17.30 m/s²
Now we have equation of motion v = u + at
      Initial velocity, u = 0 m/s
      Final velocity, v = ?
      Time, t = 6.8 s
       Acceleration, a = 17.30 m/s²
      Substituting
                       v = u + at  
                       v = 0 + 17.30 x 6.8
                       v = 117.65 m/s
Its velocity when it crosses the finish line is 117.65 m/s
 
        
        
        
Answer:
The block's mass should be 
Explanation:
Given:
Cart with mass 
From the conservation of energy before mass is added,
   
Where  amplitude of spring mass system,
 amplitude of spring mass system,  spring constant
 spring constant
   
Now new mass  is added to the system,
 is added to the system,
    
   
Here, given in question frequency is reduced to half so we can write,
    
Where  frequency of system before mass is added,
 frequency of system before mass is added,  frequency of system after mass is added.
 frequency of system after mass is added.
         

    
    
Therefore, the block's mass should be 
 
        
             
        
        
        
Answer:
C) 1.0 m
Explanation:
The component of the velocity parallel to the sidewalk is:
vₓ = v cos θ
vₓ = 0.1 m/s cos 45°
vₓ = 0.0707 m/s
The distance traveled after 14 seconds is:
d = vₓ t
d = (0.0707 m/s) (14 s)
d = 0.99 m
Closest answer is C) 1.0 m.