Answer:
The correct option is 
a. v = 
Explanation:
Time at which the object start fall t = 0
The acceleration a is given by a = g - bV
Where V = Speed of the object
Speed V² = u² + 2·a·h
However with the drag force the object will approach terminal velocity as t becomes progressively larger whereby v will stop increasing 
Option a. is the only option that has  limiting value of v which is in the range of g as t increases ∴ option a. is the correct option.
v =  as t increases
  as t increases  → 1 s and v→ g/b m/s
 → 1 s and v→ g/b m/s
 
        
             
        
        
        
De Broglie's identity gives the relationship between the momentum and the wavelength of a particle:

where
p is the particle momentum
m is its mass
v its velocity
h is the Planck constant

 is the wavelength
By re-arranging the equation, we get

and by using the data about the proton, given in the text, we can find the proton's wavelength:
 
 
        
        
        
Answer:
The polar coordinate of  is
 is  .
.
Explanation:
Given a point in rectangular form, that is  , its polar form is defined by:
, its polar form is defined by:
 (1)
 (1)
Where:
 - Norm, measured in meters.
 - Norm, measured in meters.
 - Direction, measured in sexagesimal degrees.
 - Direction, measured in sexagesimal degrees.
The norm of the point is determined by Pythagorean Theorem:
 (2)
 (2)
And direction is calculated by following trigonometric relation:
 (3)
 (3)
If we know that  and
 and  , then the components of coordinates in polar form is:
, then the components of coordinates in polar form is:


Since  and
 and  , direction is located at 3rd Quadrant. Given that tangent function has a period of 180º, we find direction by using this formula:
, direction is located at 3rd Quadrant. Given that tangent function has a period of 180º, we find direction by using this formula:


The polar coordinate of  is
 is  .
.
 
        
             
        
        
        
Answer:
W = -1844.513 J 
Explanation:
GIVEN DATA:
mass of spider man is m  74 kg
vertical displacement if spider is 11 m
 final displacement  =  11 cos 60.6 =  - 6.753 m
change in displacement is  = -6.753 - (-11) = 4.25 m
 gravity force act on spiderman is f = mg = 74 × 9.8 = 725.2 N
work done by gravity is 

where 180 is the angle between spiderman weight and displacement
W = -1844.513 J