Answer:
Because of inertia (Newton's First Law of motion)
Explanation:
According to Newton's First Law of motion:
"An object at rest (or in motion at constant velocity) will tend to stay at rest (or tend to keep moving with same velocity) unless acted upon an unbalanced force"
In this problem, the object we are analyzing is the coffee cup.
At the beginning, the cup is at rest, together with the car.
Later, the car starts moving when the light turns green. 
If we apply Newton's First Law of motion to the cup, we see that the coffee cup tends to keep its state of rest: for this reason, as the car moves forward, the coffee in the cup will spill backward, into the rear seat. This property of an object to mantain its state of motion is also called as inertia.
 
        
             
        
        
        
Answers:
a) -171.402 m/s  
b) 17.49 s
c) 1700.99 m
Explanation:
We can solve this problem with the following equations:
 (1)
 (1)
 (2)
 (2)
 (3)
 (3)
Where:
 is the bomb's final height
 is the bomb's final height
 is the bomb's initial height
 is the bomb's initial height
 is the bomb's initial vertical velocity, since the airplane was moving horizontally
 is the bomb's initial vertical velocity, since the airplane was moving horizontally
 is the time
 is the time
 is the acceleration due gravity
 is the acceleration due gravity
 is the bomb's range
 is the bomb's range
 is the bomb's initial horizontal velocity
 is the bomb's initial horizontal velocity
 is the bomb's final velocity
 is the bomb's final velocity
Knowing this, let's begin with the answers:
<h3>b) Time
</h3>
With the conditions given above, equation (1) is now written as:
 (4)
 (4)
Isolating  :
:
 (5)
 (5)
 (6)
 (6)
 (7)
 (7)
<h3>a) Final velocity
</h3>
Since  , equation (3) is written as:
, equation (3) is written as:
 (8)
 (8)
 (9)
 (9)
 (10) The negative sign only indicates the direction is downwards
 (10) The negative sign only indicates the direction is downwards
<h3>c) Range
</h3>
Substituting (7) in (2):
 (11)
 (11)
 (12)
 (12)
 
        
             
        
        
        
Answer:
a. True
Explanation:
Distance is described with only magnitude. It is defined as the total path covered by an object, in other words it  is the length of a path followed by a particle.
Displacement is described with both magnitude and direction. It is distance traveled in a specified direction or  change in position in some time interval.
Therefore, the correct option is " a. True"
 
        
             
        
        
        
Time taken to reach water :

Now, initial vertical speed , u = 0 m/s.
By equation of motion :

Here, a = g = acceleration due to gravity = 9.8 m/s².
So, 

Therefore, the height of the bridge is 3.46 m.
Hence, this is the required solution.